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Finding the Fourth Proportional to 1,560.99, 2,342.21 and 780.96

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Solution

The fourth proportional to 1,560.99, 2,342.21 and 780.96 is: 1,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.99 : 2,342.21 = 780.96 : x
  2. Step 2: Convert to fraction form
    1,560.99/2,342.21 = 780.96/x
  3. Step 3: Cross multiply
    1,560.99x = 2,342.21 × 780.96
  4. Step 4: Simplify right side
    1,560.99x = 1,829,168.42
  5. Step 5: Solve for x
    x = 1,829,168.42/1,560.99
  6. Step 6: Final answer
    x = 1,171.80

Related Problems

Find fourth proportional to 780.50, 1,171.10 and 390.48
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.