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Finding the Fourth Proportional to 783.59, 1,171.92 and 697.52

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Solution

The fourth proportional to 783.59, 1,171.92 and 697.52 is: 1,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.59 : 1,171.92 = 697.52 : x
  2. Step 2: Convert to fraction form
    783.59/1,171.92 = 697.52/x
  3. Step 3: Cross multiply
    783.59x = 1,171.92 × 697.52
  4. Step 4: Simplify right side
    783.59x = 817,431.78
  5. Step 5: Solve for x
    x = 817,431.78/783.59
  6. Step 6: Final answer
    x = 1,043.19

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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.