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Finding the Fourth Proportional to 552.44, 762.12 and 319.40

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Solution

The fourth proportional to 552.44, 762.12 and 319.40 is: 440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.44 : 762.12 = 319.40 : x
  2. Step 2: Convert to fraction form
    552.44/762.12 = 319.40/x
  3. Step 3: Cross multiply
    552.44x = 762.12 × 319.40
  4. Step 4: Simplify right side
    552.44x = 243,421.13
  5. Step 5: Solve for x
    x = 243,421.13/552.44
  6. Step 6: Final answer
    x = 440.63

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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.