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Finding the Fourth Proportional to 552.39, 762.25 and 319.47

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Solution

The fourth proportional to 552.39, 762.25 and 319.47 is: 440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.39 : 762.25 = 319.47 : x
  2. Step 2: Convert to fraction form
    552.39/762.25 = 319.47/x
  3. Step 3: Cross multiply
    552.39x = 762.25 × 319.47
  4. Step 4: Simplify right side
    552.39x = 243,516.01
  5. Step 5: Solve for x
    x = 243,516.01/552.39
  6. Step 6: Final answer
    x = 440.84

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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.