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Finding the Fourth Proportional to 716.07, 1,073.16 and 408.09

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Solution

The fourth proportional to 716.07, 1,073.16 and 408.09 is: 611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.07 : 1,073.16 = 408.09 : x
  2. Step 2: Convert to fraction form
    716.07/1,073.16 = 408.09/x
  3. Step 3: Cross multiply
    716.07x = 1,073.16 × 408.09
  4. Step 4: Simplify right side
    716.07x = 437,945.86
  5. Step 5: Solve for x
    x = 437,945.86/716.07
  6. Step 6: Final answer
    x = 611.60

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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.