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Finding the Fourth Proportional to 552.70, 832.27 and 399.68

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Solution

The fourth proportional to 552.70, 832.27 and 399.68 is: 601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.70 : 832.27 = 399.68 : x
  2. Step 2: Convert to fraction form
    552.70/832.27 = 399.68/x
  3. Step 3: Cross multiply
    552.70x = 832.27 × 399.68
  4. Step 4: Simplify right side
    552.70x = 332,641.67
  5. Step 5: Solve for x
    x = 332,641.67/552.70
  6. Step 6: Final answer
    x = 601.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.