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Finding the Fourth Proportional to 781.34, 1,171.32 and 416.39

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Solution

The fourth proportional to 781.34, 1,171.32 and 416.39 is: 624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.34 : 1,171.32 = 416.39 : x
  2. Step 2: Convert to fraction form
    781.34/1,171.32 = 416.39/x
  3. Step 3: Cross multiply
    781.34x = 1,171.32 × 416.39
  4. Step 4: Simplify right side
    781.34x = 487,720.08
  5. Step 5: Solve for x
    x = 487,720.08/781.34
  6. Step 6: Final answer
    x = 624.21

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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.