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Finding the Fourth Proportional to 545.31, 752.72 and 420.82

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Solution

The fourth proportional to 545.31, 752.72 and 420.82 is: 580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.31 : 752.72 = 420.82 : x
  2. Step 2: Convert to fraction form
    545.31/752.72 = 420.82/x
  3. Step 3: Cross multiply
    545.31x = 752.72 × 420.82
  4. Step 4: Simplify right side
    545.31x = 316,755.64
  5. Step 5: Solve for x
    x = 316,755.64/545.31
  6. Step 6: Final answer
    x = 580.87

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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.