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Finding the Fourth Proportional to 1,387.20, 1,914.48 and 797.76

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Solution

The fourth proportional to 1,387.20, 1,914.48 and 797.76 is: 1,100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.20 : 1,914.48 = 797.76 : x
  2. Step 2: Convert to fraction form
    1,387.20/1,914.48 = 797.76/x
  3. Step 3: Cross multiply
    1,387.20x = 1,914.48 × 797.76
  4. Step 4: Simplify right side
    1,387.20x = 1,527,295.56
  5. Step 5: Solve for x
    x = 1,527,295.56/1,387.20
  6. Step 6: Final answer
    x = 1,100.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.