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Finding the Fourth Proportional to 781.21, 1,169.68 and 506.62

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Solution

The fourth proportional to 781.21, 1,169.68 and 506.62 is: 758.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.21 : 1,169.68 = 506.62 : x
  2. Step 2: Convert to fraction form
    781.21/1,169.68 = 506.62/x
  3. Step 3: Cross multiply
    781.21x = 1,169.68 × 506.62
  4. Step 4: Simplify right side
    781.21x = 592,583.28
  5. Step 5: Solve for x
    x = 592,583.28/781.21
  6. Step 6: Final answer
    x = 758.55

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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.