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Finding the Fourth Proportional to 742.62, 1,024.33 and 521.18

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Solution

The fourth proportional to 742.62, 1,024.33 and 521.18 is: 718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.62 : 1,024.33 = 521.18 : x
  2. Step 2: Convert to fraction form
    742.62/1,024.33 = 521.18/x
  3. Step 3: Cross multiply
    742.62x = 1,024.33 × 521.18
  4. Step 4: Simplify right side
    742.62x = 533,860.31
  5. Step 5: Solve for x
    x = 533,860.31/742.62
  6. Step 6: Final answer
    x = 718.89

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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.