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Finding the Fourth Proportional to 987.62, 1,363.04 and 821.54

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Solution

The fourth proportional to 987.62, 1,363.04 and 821.54 is: 1,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.62 : 1,363.04 = 821.54 : x
  2. Step 2: Convert to fraction form
    987.62/1,363.04 = 821.54/x
  3. Step 3: Cross multiply
    987.62x = 1,363.04 × 821.54
  4. Step 4: Simplify right side
    987.62x = 1,119,791.88
  5. Step 5: Solve for x
    x = 1,119,791.88/987.62
  6. Step 6: Final answer
    x = 1,133.83

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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.