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Finding the Fourth Proportional to 731.75, 1,098.23 and 386.08

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Solution

The fourth proportional to 731.75, 1,098.23 and 386.08 is: 579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.75 : 1,098.23 = 386.08 : x
  2. Step 2: Convert to fraction form
    731.75/1,098.23 = 386.08/x
  3. Step 3: Cross multiply
    731.75x = 1,098.23 × 386.08
  4. Step 4: Simplify right side
    731.75x = 423,999.96
  5. Step 5: Solve for x
    x = 423,999.96/731.75
  6. Step 6: Final answer
    x = 579.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.