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Finding the Fourth Proportional to 532.29, 734.07 and 345.59

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Solution

The fourth proportional to 532.29, 734.07 and 345.59 is: 476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.29 : 734.07 = 345.59 : x
  2. Step 2: Convert to fraction form
    532.29/734.07 = 345.59/x
  3. Step 3: Cross multiply
    532.29x = 734.07 × 345.59
  4. Step 4: Simplify right side
    532.29x = 253,687.25
  5. Step 5: Solve for x
    x = 253,687.25/532.29
  6. Step 6: Final answer
    x = 476.60

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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.