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Finding the Fourth Proportional to 552.56, 761.84 and 355.72

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Solution

The fourth proportional to 552.56, 761.84 and 355.72 is: 490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.56 : 761.84 = 355.72 : x
  2. Step 2: Convert to fraction form
    552.56/761.84 = 355.72/x
  3. Step 3: Cross multiply
    552.56x = 761.84 × 355.72
  4. Step 4: Simplify right side
    552.56x = 271,001.72
  5. Step 5: Solve for x
    x = 271,001.72/552.56
  6. Step 6: Final answer
    x = 490.45

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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.