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Finding the Fourth Proportional to 811.89, 1,118.97 and 705.78

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Solution

The fourth proportional to 811.89, 1,118.97 and 705.78 is: 972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.89 : 1,118.97 = 705.78 : x
  2. Step 2: Convert to fraction form
    811.89/1,118.97 = 705.78/x
  3. Step 3: Cross multiply
    811.89x = 1,118.97 × 705.78
  4. Step 4: Simplify right side
    811.89x = 789,746.65
  5. Step 5: Solve for x
    x = 789,746.65/811.89
  6. Step 6: Final answer
    x = 972.73

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1.5x scale

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.