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Finding the Fourth Proportional to 717.71, 1,076.00 and 352.13

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Solution

The fourth proportional to 717.71, 1,076.00 and 352.13 is: 527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.71 : 1,076.00 = 352.13 : x
  2. Step 2: Convert to fraction form
    717.71/1,076.00 = 352.13/x
  3. Step 3: Cross multiply
    717.71x = 1,076.00 × 352.13
  4. Step 4: Simplify right side
    717.71x = 378,884.74
  5. Step 5: Solve for x
    x = 378,884.74/717.71
  6. Step 6: Final answer
    x = 527.91

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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.