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Finding the Fourth Proportional to 587.44, 885.57 and 547.81

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Solution

The fourth proportional to 587.44, 885.57 and 547.81 is: 825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.44 : 885.57 = 547.81 : x
  2. Step 2: Convert to fraction form
    587.44/885.57 = 547.81/x
  3. Step 3: Cross multiply
    587.44x = 885.57 × 547.81
  4. Step 4: Simplify right side
    587.44x = 485,124.10
  5. Step 5: Solve for x
    x = 485,124.10/587.44
  6. Step 6: Final answer
    x = 825.83

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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.