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Finding the Fourth Proportional to 552.74, 762.54 and 356.18

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Solution

The fourth proportional to 552.74, 762.54 and 356.18 is: 491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.74 : 762.54 = 356.18 : x
  2. Step 2: Convert to fraction form
    552.74/762.54 = 356.18/x
  3. Step 3: Cross multiply
    552.74x = 762.54 × 356.18
  4. Step 4: Simplify right side
    552.74x = 271,601.50
  5. Step 5: Solve for x
    x = 271,601.50/552.74
  6. Step 6: Final answer
    x = 491.37

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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.