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Finding the Fourth Proportional to 1,387.18, 2,077.98 and 657.46

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Solution

The fourth proportional to 1,387.18, 2,077.98 and 657.46 is: 984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.18 : 2,077.98 = 657.46 : x
  2. Step 2: Convert to fraction form
    1,387.18/2,077.98 = 657.46/x
  3. Step 3: Cross multiply
    1,387.18x = 2,077.98 × 657.46
  4. Step 4: Simplify right side
    1,387.18x = 1,366,188.73
  5. Step 5: Solve for x
    x = 1,366,188.73/1,387.18
  6. Step 6: Final answer
    x = 984.87

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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.