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Finding the Fourth Proportional to 587.94, 886.33 and 548.31

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Solution

The fourth proportional to 587.94, 886.33 and 548.31 is: 826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.94 : 886.33 = 548.31 : x
  2. Step 2: Convert to fraction form
    587.94/886.33 = 548.31/x
  3. Step 3: Cross multiply
    587.94x = 886.33 × 548.31
  4. Step 4: Simplify right side
    587.94x = 485,983.60
  5. Step 5: Solve for x
    x = 485,983.60/587.94
  6. Step 6: Final answer
    x = 826.59

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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.