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Finding the Fourth Proportional to 1,462.12, 2,193.18 and 487.84

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Solution

The fourth proportional to 1,462.12, 2,193.18 and 487.84 is: 731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.12 : 2,193.18 = 487.84 : x
  2. Step 2: Convert to fraction form
    1,462.12/2,193.18 = 487.84/x
  3. Step 3: Cross multiply
    1,462.12x = 2,193.18 × 487.84
  4. Step 4: Simplify right side
    1,462.12x = 1,069,920.93
  5. Step 5: Solve for x
    x = 1,069,920.93/1,462.12
  6. Step 6: Final answer
    x = 731.76

Related Problems

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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.