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Finding the Fourth Proportional to 532.17, 734.54 and 343.41

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Solution

The fourth proportional to 532.17, 734.54 and 343.41 is: 473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.17 : 734.54 = 343.41 : x
  2. Step 2: Convert to fraction form
    532.17/734.54 = 343.41/x
  3. Step 3: Cross multiply
    532.17x = 734.54 × 343.41
  4. Step 4: Simplify right side
    532.17x = 252,243.91
  5. Step 5: Solve for x
    x = 252,243.91/532.17
  6. Step 6: Final answer
    x = 473.99

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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.