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Finding the Fourth Proportional to 552.43, 762.43 and 375.65

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Solution

The fourth proportional to 552.43, 762.43 and 375.65 is: 518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.43 : 762.43 = 375.65 : x
  2. Step 2: Convert to fraction form
    552.43/762.43 = 375.65/x
  3. Step 3: Cross multiply
    552.43x = 762.43 × 375.65
  4. Step 4: Simplify right side
    552.43x = 286,403.49
  5. Step 5: Solve for x
    x = 286,403.49/552.43
  6. Step 6: Final answer
    x = 518.45

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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.