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Finding the Fourth Proportional to 987.82, 1,363.19 and 545.71

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Solution

The fourth proportional to 987.82, 1,363.19 and 545.71 is: 753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.82 : 1,363.19 = 545.71 : x
  2. Step 2: Convert to fraction form
    987.82/1,363.19 = 545.71/x
  3. Step 3: Cross multiply
    987.82x = 1,363.19 × 545.71
  4. Step 4: Simplify right side
    987.82x = 743,906.41
  5. Step 5: Solve for x
    x = 743,906.41/987.82
  6. Step 6: Final answer
    x = 753.08

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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.