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Finding the Fourth Proportional to 717.10, 1,076.04 and 443.86

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Solution

The fourth proportional to 717.10, 1,076.04 and 443.86 is: 666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.10 : 1,076.04 = 443.86 : x
  2. Step 2: Convert to fraction form
    717.10/1,076.04 = 443.86/x
  3. Step 3: Cross multiply
    717.10x = 1,076.04 × 443.86
  4. Step 4: Simplify right side
    717.10x = 477,611.11
  5. Step 5: Solve for x
    x = 477,611.11/717.10
  6. Step 6: Final answer
    x = 666.03

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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.