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Finding the Fourth Proportional to 713.52, 1,070.46 and 280.71

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Solution

The fourth proportional to 713.52, 1,070.46 and 280.71 is: 421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.52 : 1,070.46 = 280.71 : x
  2. Step 2: Convert to fraction form
    713.52/1,070.46 = 280.71/x
  3. Step 3: Cross multiply
    713.52x = 1,070.46 × 280.71
  4. Step 4: Simplify right side
    713.52x = 300,488.83
  5. Step 5: Solve for x
    x = 300,488.83/713.52
  6. Step 6: Final answer
    x = 421.14

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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.