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Finding the Fourth Proportional to 691.21, 953.96 and 525.14

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Solution

The fourth proportional to 691.21, 953.96 and 525.14 is: 724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.21 : 953.96 = 525.14 : x
  2. Step 2: Convert to fraction form
    691.21/953.96 = 525.14/x
  3. Step 3: Cross multiply
    691.21x = 953.96 × 525.14
  4. Step 4: Simplify right side
    691.21x = 500,962.55
  5. Step 5: Solve for x
    x = 500,962.55/691.21
  6. Step 6: Final answer
    x = 724.76

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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.