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Finding the Fourth Proportional to 552.45, 762.41 and 319.57

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Solution

The fourth proportional to 552.45, 762.41 and 319.57 is: 441.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.45 : 762.41 = 319.57 : x
  2. Step 2: Convert to fraction form
    552.45/762.41 = 319.57/x
  3. Step 3: Cross multiply
    552.45x = 762.41 × 319.57
  4. Step 4: Simplify right side
    552.45x = 243,643.36
  5. Step 5: Solve for x
    x = 243,643.36/552.45
  6. Step 6: Final answer
    x = 441.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.