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Finding the Fourth Proportional to 775.28, 1,070.52 and 527.12

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Solution

The fourth proportional to 775.28, 1,070.52 and 527.12 is: 727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.28 : 1,070.52 = 527.12 : x
  2. Step 2: Convert to fraction form
    775.28/1,070.52 = 527.12/x
  3. Step 3: Cross multiply
    775.28x = 1,070.52 × 527.12
  4. Step 4: Simplify right side
    775.28x = 564,292.50
  5. Step 5: Solve for x
    x = 564,292.50/775.28
  6. Step 6: Final answer
    x = 727.86

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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.