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Finding the Fourth Proportional to 552.42, 761.74 and 355.86

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Solution

The fourth proportional to 552.42, 761.74 and 355.86 is: 490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.42 : 761.74 = 355.86 : x
  2. Step 2: Convert to fraction form
    552.42/761.74 = 355.86/x
  3. Step 3: Cross multiply
    552.42x = 761.74 × 355.86
  4. Step 4: Simplify right side
    552.42x = 271,071.91
  5. Step 5: Solve for x
    x = 271,071.91/552.42
  6. Step 6: Final answer
    x = 490.70

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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.