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Finding the Fourth Proportional to 1,091.57, 1,506.87 and 698.81

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Solution

The fourth proportional to 1,091.57, 1,506.87 and 698.81 is: 964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.57 : 1,506.87 = 698.81 : x
  2. Step 2: Convert to fraction form
    1,091.57/1,506.87 = 698.81/x
  3. Step 3: Cross multiply
    1,091.57x = 1,506.87 × 698.81
  4. Step 4: Simplify right side
    1,091.57x = 1,053,008.29
  5. Step 5: Solve for x
    x = 1,053,008.29/1,091.57
  6. Step 6: Final answer
    x = 964.68

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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.