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Finding the Fourth Proportional to 552.16, 826.80 and 538.40

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Solution

The fourth proportional to 552.16, 826.80 and 538.40 is: 806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.16 : 826.80 = 538.40 : x
  2. Step 2: Convert to fraction form
    552.16/826.80 = 538.40/x
  3. Step 3: Cross multiply
    552.16x = 826.80 × 538.40
  4. Step 4: Simplify right side
    552.16x = 445,149.12
  5. Step 5: Solve for x
    x = 445,149.12/552.16
  6. Step 6: Final answer
    x = 806.20

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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.