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Finding the Fourth Proportional to 836.76, 1,154.70 and 505.08

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Solution

The fourth proportional to 836.76, 1,154.70 and 505.08 is: 696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.76 : 1,154.70 = 505.08 : x
  2. Step 2: Convert to fraction form
    836.76/1,154.70 = 505.08/x
  3. Step 3: Cross multiply
    836.76x = 1,154.70 × 505.08
  4. Step 4: Simplify right side
    836.76x = 583,215.88
  5. Step 5: Solve for x
    x = 583,215.88/836.76
  6. Step 6: Final answer
    x = 696.99

Related Problems

Find fourth proportional to 418.38, 577.35 and 252.54
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.