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Finding the Fourth Proportional to 552.32, 829.29 and 346.31

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Solution

The fourth proportional to 552.32, 829.29 and 346.31 is: 519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.32 : 829.29 = 346.31 : x
  2. Step 2: Convert to fraction form
    552.32/829.29 = 346.31/x
  3. Step 3: Cross multiply
    552.32x = 829.29 × 346.31
  4. Step 4: Simplify right side
    552.32x = 287,191.42
  5. Step 5: Solve for x
    x = 287,191.42/552.32
  6. Step 6: Final answer
    x = 519.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.