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Finding the Fourth Proportional to 781.49, 1,172.76 and 416.53

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Solution

The fourth proportional to 781.49, 1,172.76 and 416.53 is: 625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.49 : 1,172.76 = 416.53 : x
  2. Step 2: Convert to fraction form
    781.49/1,172.76 = 416.53/x
  3. Step 3: Cross multiply
    781.49x = 1,172.76 × 416.53
  4. Step 4: Simplify right side
    781.49x = 488,489.72
  5. Step 5: Solve for x
    x = 488,489.72/781.49
  6. Step 6: Final answer
    x = 625.07

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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.