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Finding the Fourth Proportional to 717.53, 1,077.19 and 684.42

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Solution

The fourth proportional to 717.53, 1,077.19 and 684.42 is: 1,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.53 : 1,077.19 = 684.42 : x
  2. Step 2: Convert to fraction form
    717.53/1,077.19 = 684.42/x
  3. Step 3: Cross multiply
    717.53x = 1,077.19 × 684.42
  4. Step 4: Simplify right side
    717.53x = 737,244.63
  5. Step 5: Solve for x
    x = 737,244.63/717.53
  6. Step 6: Final answer
    x = 1,027.48

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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.