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Finding the Fourth Proportional to 775.80, 1,070.64 and 496.28

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Solution

The fourth proportional to 775.80, 1,070.64 and 496.28 is: 684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.80 : 1,070.64 = 496.28 : x
  2. Step 2: Convert to fraction form
    775.80/1,070.64 = 496.28/x
  3. Step 3: Cross multiply
    775.80x = 1,070.64 × 496.28
  4. Step 4: Simplify right side
    775.80x = 531,335.27
  5. Step 5: Solve for x
    x = 531,335.27/775.80
  6. Step 6: Final answer
    x = 684.88

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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.