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Finding the Fourth Proportional to 552.95, 763.06 and 325.83

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Solution

The fourth proportional to 552.95, 763.06 and 325.83 is: 449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.95 : 763.06 = 325.83 : x
  2. Step 2: Convert to fraction form
    552.95/763.06 = 325.83/x
  3. Step 3: Cross multiply
    552.95x = 763.06 × 325.83
  4. Step 4: Simplify right side
    552.95x = 248,626.41
  5. Step 5: Solve for x
    x = 248,626.41/552.95
  6. Step 6: Final answer
    x = 449.63

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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.