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Finding the Fourth Proportional to 532.31, 734.56 and 375.00

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Solution

The fourth proportional to 532.31, 734.56 and 375.00 is: 517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.31 : 734.56 = 375.00 : x
  2. Step 2: Convert to fraction form
    532.31/734.56 = 375.00/x
  3. Step 3: Cross multiply
    532.31x = 734.56 × 375.00
  4. Step 4: Simplify right side
    532.31x = 275,461.84
  5. Step 5: Solve for x
    x = 275,461.84/532.31
  6. Step 6: Final answer
    x = 517.49

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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.