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Finding the Fourth Proportional to 552.15, 762.12 and 421.29

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Solution

The fourth proportional to 552.15, 762.12 and 421.29 is: 581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.15 : 762.12 = 421.29 : x
  2. Step 2: Convert to fraction form
    552.15/762.12 = 421.29/x
  3. Step 3: Cross multiply
    552.15x = 762.12 × 421.29
  4. Step 4: Simplify right side
    552.15x = 321,073.53
  5. Step 5: Solve for x
    x = 321,073.53/552.15
  6. Step 6: Final answer
    x = 581.50

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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.