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Finding the Fourth Proportional to 717.77, 1,076.00 and 279.32

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Solution

The fourth proportional to 717.77, 1,076.00 and 279.32 is: 418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.77 : 1,076.00 = 279.32 : x
  2. Step 2: Convert to fraction form
    717.77/1,076.00 = 279.32/x
  3. Step 3: Cross multiply
    717.77x = 1,076.00 × 279.32
  4. Step 4: Simplify right side
    717.77x = 300,541.54
  5. Step 5: Solve for x
    x = 300,541.54/717.77
  6. Step 6: Final answer
    x = 418.72

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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.