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Finding the Fourth Proportional to 987.90, 1,362.00 and 614.23

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Solution

The fourth proportional to 987.90, 1,362.00 and 614.23 is: 846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.90 : 1,362.00 = 614.23 : x
  2. Step 2: Convert to fraction form
    987.90/1,362.00 = 614.23/x
  3. Step 3: Cross multiply
    987.90x = 1,362.00 × 614.23
  4. Step 4: Simplify right side
    987.90x = 836,580.16
  5. Step 5: Solve for x
    x = 836,580.16/987.90
  6. Step 6: Final answer
    x = 846.83

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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.