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Finding the Fourth Proportional to 552.15, 826.42 and 405.86

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Solution

The fourth proportional to 552.15, 826.42 and 405.86 is: 607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.15 : 826.42 = 405.86 : x
  2. Step 2: Convert to fraction form
    552.15/826.42 = 405.86/x
  3. Step 3: Cross multiply
    552.15x = 826.42 × 405.86
  4. Step 4: Simplify right side
    552.15x = 335,410.82
  5. Step 5: Solve for x
    x = 335,410.82/552.15
  6. Step 6: Final answer
    x = 607.46

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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.