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Finding the Fourth Proportional to 1,553.89, 2,329.73 and 731.74

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Solution

The fourth proportional to 1,553.89, 2,329.73 and 731.74 is: 1,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.89 : 2,329.73 = 731.74 : x
  2. Step 2: Convert to fraction form
    1,553.89/2,329.73 = 731.74/x
  3. Step 3: Cross multiply
    1,553.89x = 2,329.73 × 731.74
  4. Step 4: Simplify right side
    1,553.89x = 1,704,758.46
  5. Step 5: Solve for x
    x = 1,704,758.46/1,553.89
  6. Step 6: Final answer
    x = 1,097.09

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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.