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Finding the Fourth Proportional to 691.42, 953.49 and 525.64

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Solution

The fourth proportional to 691.42, 953.49 and 525.64 is: 724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.42 : 953.49 = 525.64 : x
  2. Step 2: Convert to fraction form
    691.42/953.49 = 525.64/x
  3. Step 3: Cross multiply
    691.42x = 953.49 × 525.64
  4. Step 4: Simplify right side
    691.42x = 501,192.48
  5. Step 5: Solve for x
    x = 501,192.48/691.42
  6. Step 6: Final answer
    x = 724.87

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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.