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Finding the Fourth Proportional to 552.56, 762.64 and 387.02

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Solution

The fourth proportional to 552.56, 762.64 and 387.02 is: 534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.56 : 762.64 = 387.02 : x
  2. Step 2: Convert to fraction form
    552.56/762.64 = 387.02/x
  3. Step 3: Cross multiply
    552.56x = 762.64 × 387.02
  4. Step 4: Simplify right side
    552.56x = 295,157.87
  5. Step 5: Solve for x
    x = 295,157.87/552.56
  6. Step 6: Final answer
    x = 534.16

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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.