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Finding the Fourth Proportional to 552.53, 762.80 and 386.69

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Solution

The fourth proportional to 552.53, 762.80 and 386.69 is: 533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.53 : 762.80 = 386.69 : x
  2. Step 2: Convert to fraction form
    552.53/762.80 = 386.69/x
  3. Step 3: Cross multiply
    552.53x = 762.80 × 386.69
  4. Step 4: Simplify right side
    552.53x = 294,961.38
  5. Step 5: Solve for x
    x = 294,961.38/552.53
  6. Step 6: Final answer
    x = 533.84

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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.