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Finding the Fourth Proportional to 552.77, 762.73 and 356.55

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Solution

The fourth proportional to 552.77, 762.73 and 356.55 is: 491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.77 : 762.73 = 356.55 : x
  2. Step 2: Convert to fraction form
    552.77/762.73 = 356.55/x
  3. Step 3: Cross multiply
    552.77x = 762.73 × 356.55
  4. Step 4: Simplify right side
    552.77x = 271,951.38
  5. Step 5: Solve for x
    x = 271,951.38/552.77
  6. Step 6: Final answer
    x = 491.98

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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.