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Finding the Fourth Proportional to 691.24, 953.98 and 380.76

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Solution

The fourth proportional to 691.24, 953.98 and 380.76 is: 525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.24 : 953.98 = 380.76 : x
  2. Step 2: Convert to fraction form
    691.24/953.98 = 380.76/x
  3. Step 3: Cross multiply
    691.24x = 953.98 × 380.76
  4. Step 4: Simplify right side
    691.24x = 363,237.42
  5. Step 5: Solve for x
    x = 363,237.42/691.24
  6. Step 6: Final answer
    x = 525.49

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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.