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Finding the Fourth Proportional to 713.68, 1,070.80 and 280.88

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Solution

The fourth proportional to 713.68, 1,070.80 and 280.88 is: 421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.68 : 1,070.80 = 280.88 : x
  2. Step 2: Convert to fraction form
    713.68/1,070.80 = 280.88/x
  3. Step 3: Cross multiply
    713.68x = 1,070.80 × 280.88
  4. Step 4: Simplify right side
    713.68x = 300,766.30
  5. Step 5: Solve for x
    x = 300,766.30/713.68
  6. Step 6: Final answer
    x = 421.43

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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.