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Finding the Fourth Proportional to 630.68, 869.76 and 532.64

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Solution

The fourth proportional to 630.68, 869.76 and 532.64 is: 734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.68 : 869.76 = 532.64 : x
  2. Step 2: Convert to fraction form
    630.68/869.76 = 532.64/x
  3. Step 3: Cross multiply
    630.68x = 869.76 × 532.64
  4. Step 4: Simplify right side
    630.68x = 463,268.97
  5. Step 5: Solve for x
    x = 463,268.97/630.68
  6. Step 6: Final answer
    x = 734.55

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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.