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Finding the Fourth Proportional to 545.67, 814.29 and 487.26

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Solution

The fourth proportional to 545.67, 814.29 and 487.26 is: 727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.67 : 814.29 = 487.26 : x
  2. Step 2: Convert to fraction form
    545.67/814.29 = 487.26/x
  3. Step 3: Cross multiply
    545.67x = 814.29 × 487.26
  4. Step 4: Simplify right side
    545.67x = 396,772.17
  5. Step 5: Solve for x
    x = 396,772.17/545.67
  6. Step 6: Final answer
    x = 727.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.