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Finding the Fourth Proportional to 724.01, 1,085.49 and 430.82

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Solution

The fourth proportional to 724.01, 1,085.49 and 430.82 is: 645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.01 : 1,085.49 = 430.82 : x
  2. Step 2: Convert to fraction form
    724.01/1,085.49 = 430.82/x
  3. Step 3: Cross multiply
    724.01x = 1,085.49 × 430.82
  4. Step 4: Simplify right side
    724.01x = 467,650.80
  5. Step 5: Solve for x
    x = 467,650.80/724.01
  6. Step 6: Final answer
    x = 645.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.