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Finding the Fourth Proportional to 891.81, 1,231.25 and 706.05

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Solution

The fourth proportional to 891.81, 1,231.25 and 706.05 is: 974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.81 : 1,231.25 = 706.05 : x
  2. Step 2: Convert to fraction form
    891.81/1,231.25 = 706.05/x
  3. Step 3: Cross multiply
    891.81x = 1,231.25 × 706.05
  4. Step 4: Simplify right side
    891.81x = 869,320.53
  5. Step 5: Solve for x
    x = 869,320.53/891.81
  6. Step 6: Final answer
    x = 974.78

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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.