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Finding the Fourth Proportional to 987.47, 1,362.98 and 614.22

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Solution

The fourth proportional to 987.47, 1,362.98 and 614.22 is: 847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.47 : 1,362.98 = 614.22 : x
  2. Step 2: Convert to fraction form
    987.47/1,362.98 = 614.22/x
  3. Step 3: Cross multiply
    987.47x = 1,362.98 × 614.22
  4. Step 4: Simplify right side
    987.47x = 837,171.62
  5. Step 5: Solve for x
    x = 837,171.62/987.47
  6. Step 6: Final answer
    x = 847.80

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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.