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Finding the Fourth Proportional to 552.75, 763.14 and 356.63

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Solution

The fourth proportional to 552.75, 763.14 and 356.63 is: 492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.75 : 763.14 = 356.63 : x
  2. Step 2: Convert to fraction form
    552.75/763.14 = 356.63/x
  3. Step 3: Cross multiply
    552.75x = 763.14 × 356.63
  4. Step 4: Simplify right side
    552.75x = 272,154.80
  5. Step 5: Solve for x
    x = 272,154.80/552.75
  6. Step 6: Final answer
    x = 492.37

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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.