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Finding the Fourth Proportional to 552.97, 763.09 and 316.91

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Solution

The fourth proportional to 552.97, 763.09 and 316.91 is: 437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.97 : 763.09 = 316.91 : x
  2. Step 2: Convert to fraction form
    552.97/763.09 = 316.91/x
  3. Step 3: Cross multiply
    552.97x = 763.09 × 316.91
  4. Step 4: Simplify right side
    552.97x = 241,826.24
  5. Step 5: Solve for x
    x = 241,826.24/552.97
  6. Step 6: Final answer
    x = 437.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.