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Finding the Fourth Proportional to 990.22, 1,474.87 and 938.18

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Solution

The fourth proportional to 990.22, 1,474.87 and 938.18 is: 1,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.22 : 1,474.87 = 938.18 : x
  2. Step 2: Convert to fraction form
    990.22/1,474.87 = 938.18/x
  3. Step 3: Cross multiply
    990.22x = 1,474.87 × 938.18
  4. Step 4: Simplify right side
    990.22x = 1,383,686.16
  5. Step 5: Solve for x
    x = 1,383,686.16/990.22
  6. Step 6: Final answer
    x = 1,397.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.