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Finding the Fourth Proportional to 724.20, 1,000.17 and 646.95

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Solution

The fourth proportional to 724.20, 1,000.17 and 646.95 is: 893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.20 : 1,000.17 = 646.95 : x
  2. Step 2: Convert to fraction form
    724.20/1,000.17 = 646.95/x
  3. Step 3: Cross multiply
    724.20x = 1,000.17 × 646.95
  4. Step 4: Simplify right side
    724.20x = 647,059.98
  5. Step 5: Solve for x
    x = 647,059.98/724.20
  6. Step 6: Final answer
    x = 893.48

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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.