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Finding the Fourth Proportional to 732.50, 1,009.40 and 522.31

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Solution

The fourth proportional to 732.50, 1,009.40 and 522.31 is: 719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.50 : 1,009.40 = 522.31 : x
  2. Step 2: Convert to fraction form
    732.50/1,009.40 = 522.31/x
  3. Step 3: Cross multiply
    732.50x = 1,009.40 × 522.31
  4. Step 4: Simplify right side
    732.50x = 527,216.47
  5. Step 5: Solve for x
    x = 527,216.47/732.50
  6. Step 6: Final answer
    x = 719.75

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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.