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Finding the Fourth Proportional to 548.61, 826.10 and 395.58

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Solution

The fourth proportional to 548.61, 826.10 and 395.58 is: 595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.61 : 826.10 = 395.58 : x
  2. Step 2: Convert to fraction form
    548.61/826.10 = 395.58/x
  3. Step 3: Cross multiply
    548.61x = 826.10 × 395.58
  4. Step 4: Simplify right side
    548.61x = 326,791.24
  5. Step 5: Solve for x
    x = 326,791.24/548.61
  6. Step 6: Final answer
    x = 595.68

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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.