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Finding the Fourth Proportional to 552.95, 763.65 and 449.07

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Solution

The fourth proportional to 552.95, 763.65 and 449.07 is: 620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.95 : 763.65 = 449.07 : x
  2. Step 2: Convert to fraction form
    552.95/763.65 = 449.07/x
  3. Step 3: Cross multiply
    552.95x = 763.65 × 449.07
  4. Step 4: Simplify right side
    552.95x = 342,932.31
  5. Step 5: Solve for x
    x = 342,932.31/552.95
  6. Step 6: Final answer
    x = 620.19

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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.