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Finding the Fourth Proportional to 775.28, 1,070.40 and 480.96

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Solution

The fourth proportional to 775.28, 1,070.40 and 480.96 is: 664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.28 : 1,070.40 = 480.96 : x
  2. Step 2: Convert to fraction form
    775.28/1,070.40 = 480.96/x
  3. Step 3: Cross multiply
    775.28x = 1,070.40 × 480.96
  4. Step 4: Simplify right side
    775.28x = 514,819.58
  5. Step 5: Solve for x
    x = 514,819.58/775.28
  6. Step 6: Final answer
    x = 664.04

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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.