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Finding the Fourth Proportional to 824.52, 1,139.28 and 677.04

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Solution

The fourth proportional to 824.52, 1,139.28 and 677.04 is: 935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.52 : 1,139.28 = 677.04 : x
  2. Step 2: Convert to fraction form
    824.52/1,139.28 = 677.04/x
  3. Step 3: Cross multiply
    824.52x = 1,139.28 × 677.04
  4. Step 4: Simplify right side
    824.52x = 771,338.13
  5. Step 5: Solve for x
    x = 771,338.13/824.52
  6. Step 6: Final answer
    x = 935.50

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1.5x scale

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.