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Finding the Fourth Proportional to 552.61, 762 and 386.74

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Solution

The fourth proportional to 552.61, 762 and 386.74 is: 533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.61 : 762 = 386.74 : x
  2. Step 2: Convert to fraction form
    552.61/762 = 386.74/x
  3. Step 3: Cross multiply
    552.61x = 762 × 386.74
  4. Step 4: Simplify right side
    552.61x = 294,695.88
  5. Step 5: Solve for x
    x = 294,695.88/552.61
  6. Step 6: Final answer
    x = 533.28

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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.