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Finding the Fourth Proportional to 855.53, 1,281.67 and 489.20

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Solution

The fourth proportional to 855.53, 1,281.67 and 489.20 is: 732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.53 : 1,281.67 = 489.20 : x
  2. Step 2: Convert to fraction form
    855.53/1,281.67 = 489.20/x
  3. Step 3: Cross multiply
    855.53x = 1,281.67 × 489.20
  4. Step 4: Simplify right side
    855.53x = 626,992.96
  5. Step 5: Solve for x
    x = 626,992.96/855.53
  6. Step 6: Final answer
    x = 732.87

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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.