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Finding the Fourth Proportional to 1,583.59, 2,375.64 and 487.69

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Solution

The fourth proportional to 1,583.59, 2,375.64 and 487.69 is: 731.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.59 : 2,375.64 = 487.69 : x
  2. Step 2: Convert to fraction form
    1,583.59/2,375.64 = 487.69/x
  3. Step 3: Cross multiply
    1,583.59x = 2,375.64 × 487.69
  4. Step 4: Simplify right side
    1,583.59x = 1,158,575.87
  5. Step 5: Solve for x
    x = 1,158,575.87/1,583.59
  6. Step 6: Final answer
    x = 731.61

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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.