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Finding the Fourth Proportional to 717.01, 1,074.57 and 408.40

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Solution

The fourth proportional to 717.01, 1,074.57 and 408.40 is: 612.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.01 : 1,074.57 = 408.40 : x
  2. Step 2: Convert to fraction form
    717.01/1,074.57 = 408.40/x
  3. Step 3: Cross multiply
    717.01x = 1,074.57 × 408.40
  4. Step 4: Simplify right side
    717.01x = 438,854.39
  5. Step 5: Solve for x
    x = 438,854.39/717.01
  6. Step 6: Final answer
    x = 612.06

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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.