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Finding the Fourth Proportional to 691.27, 953.90 and 380.77

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Solution

The fourth proportional to 691.27, 953.90 and 380.77 is: 525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.27 : 953.90 = 380.77 : x
  2. Step 2: Convert to fraction form
    691.27/953.90 = 380.77/x
  3. Step 3: Cross multiply
    691.27x = 953.90 × 380.77
  4. Step 4: Simplify right side
    691.27x = 363,211.73
  5. Step 5: Solve for x
    x = 363,211.73/691.27
  6. Step 6: Final answer
    x = 525.43

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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.