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Finding the Fourth Proportional to 781.61, 1,171.69 and 268.25

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Solution

The fourth proportional to 781.61, 1,171.69 and 268.25 is: 402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.61 : 1,171.69 = 268.25 : x
  2. Step 2: Convert to fraction form
    781.61/1,171.69 = 268.25/x
  3. Step 3: Cross multiply
    781.61x = 1,171.69 × 268.25
  4. Step 4: Simplify right side
    781.61x = 314,304.50
  5. Step 5: Solve for x
    x = 314,304.50/781.61
  6. Step 6: Final answer
    x = 402.12

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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.