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Finding the Fourth Proportional to 717.51, 1,076.67 and 409.71

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Solution

The fourth proportional to 717.51, 1,076.67 and 409.71 is: 614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.51 : 1,076.67 = 409.71 : x
  2. Step 2: Convert to fraction form
    717.51/1,076.67 = 409.71/x
  3. Step 3: Cross multiply
    717.51x = 1,076.67 × 409.71
  4. Step 4: Simplify right side
    717.51x = 441,122.47
  5. Step 5: Solve for x
    x = 441,122.47/717.51
  6. Step 6: Final answer
    x = 614.80

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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.