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Finding the Fourth Proportional to 549.72, 757.02 and 470.73

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Solution

The fourth proportional to 549.72, 757.02 and 470.73 is: 648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.72 : 757.02 = 470.73 : x
  2. Step 2: Convert to fraction form
    549.72/757.02 = 470.73/x
  3. Step 3: Cross multiply
    549.72x = 757.02 × 470.73
  4. Step 4: Simplify right side
    549.72x = 356,352.02
  5. Step 5: Solve for x
    x = 356,352.02/549.72
  6. Step 6: Final answer
    x = 648.24

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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.