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Finding the Fourth Proportional to 552.72, 762.78 and 316.75

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Solution

The fourth proportional to 552.72, 762.78 and 316.75 is: 437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.72 : 762.78 = 316.75 : x
  2. Step 2: Convert to fraction form
    552.72/762.78 = 316.75/x
  3. Step 3: Cross multiply
    552.72x = 762.78 × 316.75
  4. Step 4: Simplify right side
    552.72x = 241,606.46
  5. Step 5: Solve for x
    x = 241,606.46/552.72
  6. Step 6: Final answer
    x = 437.12

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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.