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Finding the Fourth Proportional to 987.27, 1,362.18 and 800.42

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Solution

The fourth proportional to 987.27, 1,362.18 and 800.42 is: 1,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.27 : 1,362.18 = 800.42 : x
  2. Step 2: Convert to fraction form
    987.27/1,362.18 = 800.42/x
  3. Step 3: Cross multiply
    987.27x = 1,362.18 × 800.42
  4. Step 4: Simplify right side
    987.27x = 1,090,309.30
  5. Step 5: Solve for x
    x = 1,090,309.30/987.27
  6. Step 6: Final answer
    x = 1,104.37

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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.