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Finding the Fourth Proportional to 526.93, 732.19 and 521.24

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Solution

The fourth proportional to 526.93, 732.19 and 521.24 is: 724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.93 : 732.19 = 521.24 : x
  2. Step 2: Convert to fraction form
    526.93/732.19 = 521.24/x
  3. Step 3: Cross multiply
    526.93x = 732.19 × 521.24
  4. Step 4: Simplify right side
    526.93x = 381,642.73
  5. Step 5: Solve for x
    x = 381,642.73/526.93
  6. Step 6: Final answer
    x = 724.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.