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Finding the Fourth Proportional to 987.91, 1,363.25 and 545.80

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Solution

The fourth proportional to 987.91, 1,363.25 and 545.80 is: 753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.91 : 1,363.25 = 545.80 : x
  2. Step 2: Convert to fraction form
    987.91/1,363.25 = 545.80/x
  3. Step 3: Cross multiply
    987.91x = 1,363.25 × 545.80
  4. Step 4: Simplify right side
    987.91x = 744,064.23
  5. Step 5: Solve for x
    x = 744,064.23/987.91
  6. Step 6: Final answer
    x = 753.17

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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.