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Finding the Fourth Proportional to 742.98, 1,025.15 and 473.91

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Solution

The fourth proportional to 742.98, 1,025.15 and 473.91 is: 653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.98 : 1,025.15 = 473.91 : x
  2. Step 2: Convert to fraction form
    742.98/1,025.15 = 473.91/x
  3. Step 3: Cross multiply
    742.98x = 1,025.15 × 473.91
  4. Step 4: Simplify right side
    742.98x = 485,826.47
  5. Step 5: Solve for x
    x = 485,826.47/742.98
  6. Step 6: Final answer
    x = 653.89

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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.