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Finding the Fourth Proportional to 781.26, 1,171.12 and 434.75

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Solution

The fourth proportional to 781.26, 1,171.12 and 434.75 is: 651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.26 : 1,171.12 = 434.75 : x
  2. Step 2: Convert to fraction form
    781.26/1,171.12 = 434.75/x
  3. Step 3: Cross multiply
    781.26x = 1,171.12 × 434.75
  4. Step 4: Simplify right side
    781.26x = 509,143.66
  5. Step 5: Solve for x
    x = 509,143.66/781.26
  6. Step 6: Final answer
    x = 651.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.