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Finding the Fourth Proportional to 552.90, 826.38 and 397.80

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Solution

The fourth proportional to 552.90, 826.38 and 397.80 is: 594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.90 : 826.38 = 397.80 : x
  2. Step 2: Convert to fraction form
    552.90/826.38 = 397.80/x
  3. Step 3: Cross multiply
    552.90x = 826.38 × 397.80
  4. Step 4: Simplify right side
    552.90x = 328,733.96
  5. Step 5: Solve for x
    x = 328,733.96/552.90
  6. Step 6: Final answer
    x = 594.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.