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Finding the Fourth Proportional to 712.88, 1,068.92 and 424.52

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Solution

The fourth proportional to 712.88, 1,068.92 and 424.52 is: 636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.88 : 1,068.92 = 424.52 : x
  2. Step 2: Convert to fraction form
    712.88/1,068.92 = 424.52/x
  3. Step 3: Cross multiply
    712.88x = 1,068.92 × 424.52
  4. Step 4: Simplify right side
    712.88x = 453,777.92
  5. Step 5: Solve for x
    x = 453,777.92/712.88
  6. Step 6: Final answer
    x = 636.54

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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.