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Finding the Fourth Proportional to 1,584.11, 2,375.54 and 659.04

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Solution

The fourth proportional to 1,584.11, 2,375.54 and 659.04 is: 988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.11 : 2,375.54 = 659.04 : x
  2. Step 2: Convert to fraction form
    1,584.11/2,375.54 = 659.04/x
  3. Step 3: Cross multiply
    1,584.11x = 2,375.54 × 659.04
  4. Step 4: Simplify right side
    1,584.11x = 1,565,572.59
  5. Step 5: Solve for x
    x = 1,565,572.59/1,584.11
  6. Step 6: Final answer
    x = 988.30

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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.