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Finding the Fourth Proportional to 1,091.19, 1,505.34 and 698.61

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Solution

The fourth proportional to 1,091.19, 1,505.34 and 698.61 is: 963.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.19 : 1,505.34 = 698.61 : x
  2. Step 2: Convert to fraction form
    1,091.19/1,505.34 = 698.61/x
  3. Step 3: Cross multiply
    1,091.19x = 1,505.34 × 698.61
  4. Step 4: Simplify right side
    1,091.19x = 1,051,645.58
  5. Step 5: Solve for x
    x = 1,051,645.58/1,091.19
  6. Step 6: Final answer
    x = 963.76

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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.