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Finding the Fourth Proportional to 780.31, 1,171.17 and 697.92

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Solution

The fourth proportional to 780.31, 1,171.17 and 697.92 is: 1,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.31 : 1,171.17 = 697.92 : x
  2. Step 2: Convert to fraction form
    780.31/1,171.17 = 697.92/x
  3. Step 3: Cross multiply
    780.31x = 1,171.17 × 697.92
  4. Step 4: Simplify right side
    780.31x = 817,382.97
  5. Step 5: Solve for x
    x = 817,382.97/780.31
  6. Step 6: Final answer
    x = 1,047.51

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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.