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Finding the Fourth Proportional to 731.45, 1,097.38 and 298.91

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Solution

The fourth proportional to 731.45, 1,097.38 and 298.91 is: 448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.45 : 1,097.38 = 298.91 : x
  2. Step 2: Convert to fraction form
    731.45/1,097.38 = 298.91/x
  3. Step 3: Cross multiply
    731.45x = 1,097.38 × 298.91
  4. Step 4: Simplify right side
    731.45x = 328,020.97
  5. Step 5: Solve for x
    x = 328,020.97/731.45
  6. Step 6: Final answer
    x = 448.45

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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.