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Finding the Fourth Proportional to 717.42, 1,076.66 and 574.86

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Solution

The fourth proportional to 717.42, 1,076.66 and 574.86 is: 862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.42 : 1,076.66 = 574.86 : x
  2. Step 2: Convert to fraction form
    717.42/1,076.66 = 574.86/x
  3. Step 3: Cross multiply
    717.42x = 1,076.66 × 574.86
  4. Step 4: Simplify right side
    717.42x = 618,924.82
  5. Step 5: Solve for x
    x = 618,924.82/717.42
  6. Step 6: Final answer
    x = 862.72

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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.