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Finding the Fourth Proportional to 918.49, 1,266 and 731.11

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Solution

The fourth proportional to 918.49, 1,266 and 731.11 is: 1,007.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.49 : 1,266 = 731.11 : x
  2. Step 2: Convert to fraction form
    918.49/1,266 = 731.11/x
  3. Step 3: Cross multiply
    918.49x = 1,266 × 731.11
  4. Step 4: Simplify right side
    918.49x = 925,585.26
  5. Step 5: Solve for x
    x = 925,585.26/918.49
  6. Step 6: Final answer
    x = 1,007.72

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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.