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Finding the Fourth Proportional to 717.44, 1,074.30 and 498.74

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Solution

The fourth proportional to 717.44, 1,074.30 and 498.74 is: 746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.44 : 1,074.30 = 498.74 : x
  2. Step 2: Convert to fraction form
    717.44/1,074.30 = 498.74/x
  3. Step 3: Cross multiply
    717.44x = 1,074.30 × 498.74
  4. Step 4: Simplify right side
    717.44x = 535,796.38
  5. Step 5: Solve for x
    x = 535,796.38/717.44
  6. Step 6: Final answer
    x = 746.82

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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.