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Finding the Fourth Proportional to 587.92, 811.31 and 351.85

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Solution

The fourth proportional to 587.92, 811.31 and 351.85 is: 485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.92 : 811.31 = 351.85 : x
  2. Step 2: Convert to fraction form
    587.92/811.31 = 351.85/x
  3. Step 3: Cross multiply
    587.92x = 811.31 × 351.85
  4. Step 4: Simplify right side
    587.92x = 285,459.42
  5. Step 5: Solve for x
    x = 285,459.42/587.92
  6. Step 6: Final answer
    x = 485.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.