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Finding the Fourth Proportional to 844.67, 1,161.78 and 678.52

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Solution

The fourth proportional to 844.67, 1,161.78 and 678.52 is: 933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.67 : 1,161.78 = 678.52 : x
  2. Step 2: Convert to fraction form
    844.67/1,161.78 = 678.52/x
  3. Step 3: Cross multiply
    844.67x = 1,161.78 × 678.52
  4. Step 4: Simplify right side
    844.67x = 788,290.97
  5. Step 5: Solve for x
    x = 788,290.97/844.67
  6. Step 6: Final answer
    x = 933.25

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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.