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Finding the Fourth Proportional to 532.71, 734.71 and 408.33

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Solution

The fourth proportional to 532.71, 734.71 and 408.33 is: 563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.71 : 734.71 = 408.33 : x
  2. Step 2: Convert to fraction form
    532.71/734.71 = 408.33/x
  3. Step 3: Cross multiply
    532.71x = 734.71 × 408.33
  4. Step 4: Simplify right side
    532.71x = 300,004.13
  5. Step 5: Solve for x
    x = 300,004.13/532.71
  6. Step 6: Final answer
    x = 563.17

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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.