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Finding the Fourth Proportional to 717.66, 1,078.29 and 457.78

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Solution

The fourth proportional to 717.66, 1,078.29 and 457.78 is: 687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.66 : 1,078.29 = 457.78 : x
  2. Step 2: Convert to fraction form
    717.66/1,078.29 = 457.78/x
  3. Step 3: Cross multiply
    717.66x = 1,078.29 × 457.78
  4. Step 4: Simplify right side
    717.66x = 493,611.92
  5. Step 5: Solve for x
    x = 493,611.92/717.66
  6. Step 6: Final answer
    x = 687.81

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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.