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Finding the Fourth Proportional to 532.32, 734.64 and 408.80

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Solution

The fourth proportional to 532.32, 734.64 and 408.80 is: 564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.32 : 734.64 = 408.80 : x
  2. Step 2: Convert to fraction form
    532.32/734.64 = 408.80/x
  3. Step 3: Cross multiply
    532.32x = 734.64 × 408.80
  4. Step 4: Simplify right side
    532.32x = 300,320.83
  5. Step 5: Solve for x
    x = 300,320.83/532.32
  6. Step 6: Final answer
    x = 564.17

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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.