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Finding the Fourth Proportional to 987.78, 1,363.30 and 944.04

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Solution

The fourth proportional to 987.78, 1,363.30 and 944.04 is: 1,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.78 : 1,363.30 = 944.04 : x
  2. Step 2: Convert to fraction form
    987.78/1,363.30 = 944.04/x
  3. Step 3: Cross multiply
    987.78x = 1,363.30 × 944.04
  4. Step 4: Simplify right side
    987.78x = 1,287,009.73
  5. Step 5: Solve for x
    x = 1,287,009.73/987.78
  6. Step 6: Final answer
    x = 1,302.93

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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.