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Finding the Fourth Proportional to 717.08, 1,076.70 and 409.28

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Solution

The fourth proportional to 717.08, 1,076.70 and 409.28 is: 614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.08 : 1,076.70 = 409.28 : x
  2. Step 2: Convert to fraction form
    717.08/1,076.70 = 409.28/x
  3. Step 3: Cross multiply
    717.08x = 1,076.70 × 409.28
  4. Step 4: Simplify right side
    717.08x = 440,671.78
  5. Step 5: Solve for x
    x = 440,671.78/717.08
  6. Step 6: Final answer
    x = 614.54

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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.