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Finding the Fourth Proportional to 855.09, 1,281.41 and 489.99

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Solution

The fourth proportional to 855.09, 1,281.41 and 489.99 is: 734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.09 : 1,281.41 = 489.99 : x
  2. Step 2: Convert to fraction form
    855.09/1,281.41 = 489.99/x
  3. Step 3: Cross multiply
    855.09x = 1,281.41 × 489.99
  4. Step 4: Simplify right side
    855.09x = 627,875.64
  5. Step 5: Solve for x
    x = 627,875.64/855.09
  6. Step 6: Final answer
    x = 734.28

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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.