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Finding the Fourth Proportional to 587.11, 880.82 and 489.07

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Solution

The fourth proportional to 587.11, 880.82 and 489.07 is: 733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.11 : 880.82 = 489.07 : x
  2. Step 2: Convert to fraction form
    587.11/880.82 = 489.07/x
  3. Step 3: Cross multiply
    587.11x = 880.82 × 489.07
  4. Step 4: Simplify right side
    587.11x = 430,782.64
  5. Step 5: Solve for x
    x = 430,782.64/587.11
  6. Step 6: Final answer
    x = 733.73

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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.