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Finding the Fourth Proportional to 552.66, 762.72 and 319.84

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Solution

The fourth proportional to 552.66, 762.72 and 319.84 is: 441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.66 : 762.72 = 319.84 : x
  2. Step 2: Convert to fraction form
    552.66/762.72 = 319.84/x
  3. Step 3: Cross multiply
    552.66x = 762.72 × 319.84
  4. Step 4: Simplify right side
    552.66x = 243,948.36
  5. Step 5: Solve for x
    x = 243,948.36/552.66
  6. Step 6: Final answer
    x = 441.41

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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.