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Finding the Fourth Proportional to 701.46, 1,049.76 and 484.38

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Solution

The fourth proportional to 701.46, 1,049.76 and 484.38 is: 724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.46 : 1,049.76 = 484.38 : x
  2. Step 2: Convert to fraction form
    701.46/1,049.76 = 484.38/x
  3. Step 3: Cross multiply
    701.46x = 1,049.76 × 484.38
  4. Step 4: Simplify right side
    701.46x = 508,482.75
  5. Step 5: Solve for x
    x = 508,482.75/701.46
  6. Step 6: Final answer
    x = 724.89

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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.