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Finding the Fourth Proportional to 1,659.43, 2,487.76 and 781.50

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Solution

The fourth proportional to 1,659.43, 2,487.76 and 781.50 is: 1,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.43 : 2,487.76 = 781.50 : x
  2. Step 2: Convert to fraction form
    1,659.43/2,487.76 = 781.50/x
  3. Step 3: Cross multiply
    1,659.43x = 2,487.76 × 781.50
  4. Step 4: Simplify right side
    1,659.43x = 1,944,184.44
  5. Step 5: Solve for x
    x = 1,944,184.44/1,659.43
  6. Step 6: Final answer
    x = 1,171.60

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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.