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Finding the Fourth Proportional to 801.88, 1,194.11 and 780.28

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Solution

The fourth proportional to 801.88, 1,194.11 and 780.28 is: 1,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.88 : 1,194.11 = 780.28 : x
  2. Step 2: Convert to fraction form
    801.88/1,194.11 = 780.28/x
  3. Step 3: Cross multiply
    801.88x = 1,194.11 × 780.28
  4. Step 4: Simplify right side
    801.88x = 931,740.15
  5. Step 5: Solve for x
    x = 931,740.15/801.88
  6. Step 6: Final answer
    x = 1,161.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.