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Finding the Fourth Proportional to 529.57, 724.34 and 521.07

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Solution

The fourth proportional to 529.57, 724.34 and 521.07 is: 712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.57 : 724.34 = 521.07 : x
  2. Step 2: Convert to fraction form
    529.57/724.34 = 521.07/x
  3. Step 3: Cross multiply
    529.57x = 724.34 × 521.07
  4. Step 4: Simplify right side
    529.57x = 377,430.43
  5. Step 5: Solve for x
    x = 377,430.43/529.57
  6. Step 6: Final answer
    x = 712.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.