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Finding the Fourth Proportional to 532.14, 796.92 and 454.68

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Solution

The fourth proportional to 532.14, 796.92 and 454.68 is: 680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.14 : 796.92 = 454.68 : x
  2. Step 2: Convert to fraction form
    532.14/796.92 = 454.68/x
  3. Step 3: Cross multiply
    532.14x = 796.92 × 454.68
  4. Step 4: Simplify right side
    532.14x = 362,343.59
  5. Step 5: Solve for x
    x = 362,343.59/532.14
  6. Step 6: Final answer
    x = 680.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.