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Finding the Fourth Proportional to 742.44, 1,025.03 and 477.00

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Solution

The fourth proportional to 742.44, 1,025.03 and 477.00 is: 658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.44 : 1,025.03 = 477.00 : x
  2. Step 2: Convert to fraction form
    742.44/1,025.03 = 477.00/x
  3. Step 3: Cross multiply
    742.44x = 1,025.03 × 477.00
  4. Step 4: Simplify right side
    742.44x = 488,934.87
  5. Step 5: Solve for x
    x = 488,934.87/742.44
  6. Step 6: Final answer
    x = 658.55

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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.