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Finding the Fourth Proportional to 553.06, 763.08 and 331.85

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Solution

The fourth proportional to 553.06, 763.08 and 331.85 is: 457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.06 : 763.08 = 331.85 : x
  2. Step 2: Convert to fraction form
    553.06/763.08 = 331.85/x
  3. Step 3: Cross multiply
    553.06x = 763.08 × 331.85
  4. Step 4: Simplify right side
    553.06x = 253,228.10
  5. Step 5: Solve for x
    x = 253,228.10/553.06
  6. Step 6: Final answer
    x = 457.87

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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.