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Finding the Fourth Proportional to 713.45, 1,070.24 and 280.50

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Solution

The fourth proportional to 713.45, 1,070.24 and 280.50 is: 420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.45 : 1,070.24 = 280.50 : x
  2. Step 2: Convert to fraction form
    713.45/1,070.24 = 280.50/x
  3. Step 3: Cross multiply
    713.45x = 1,070.24 × 280.50
  4. Step 4: Simplify right side
    713.45x = 300,200.92
  5. Step 5: Solve for x
    x = 300,200.92/713.45
  6. Step 6: Final answer
    x = 420.78

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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.