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Finding the Fourth Proportional to 522.07, 725.29 and 517.31

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Solution

The fourth proportional to 522.07, 725.29 and 517.31 is: 718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.07 : 725.29 = 517.31 : x
  2. Step 2: Convert to fraction form
    522.07/725.29 = 517.31/x
  3. Step 3: Cross multiply
    522.07x = 725.29 × 517.31
  4. Step 4: Simplify right side
    522.07x = 375,200.29
  5. Step 5: Solve for x
    x = 375,200.29/522.07
  6. Step 6: Final answer
    x = 718.68

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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.