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Finding the Fourth Proportional to 1,154.87, 1,732.24 and 505.61

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Solution

The fourth proportional to 1,154.87, 1,732.24 and 505.61 is: 758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.87 : 1,732.24 = 505.61 : x
  2. Step 2: Convert to fraction form
    1,154.87/1,732.24 = 505.61/x
  3. Step 3: Cross multiply
    1,154.87x = 1,732.24 × 505.61
  4. Step 4: Simplify right side
    1,154.87x = 875,837.87
  5. Step 5: Solve for x
    x = 875,837.87/1,154.87
  6. Step 6: Final answer
    x = 758.39

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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.