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Finding the Fourth Proportional to 532.60, 734.76 and 335.78

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Solution

The fourth proportional to 532.60, 734.76 and 335.78 is: 463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.60 : 734.76 = 335.78 : x
  2. Step 2: Convert to fraction form
    532.60/734.76 = 335.78/x
  3. Step 3: Cross multiply
    532.60x = 734.76 × 335.78
  4. Step 4: Simplify right side
    532.60x = 246,717.71
  5. Step 5: Solve for x
    x = 246,717.71/532.60
  6. Step 6: Final answer
    x = 463.23

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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.