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Finding the Fourth Proportional to 1,191.65, 1,777.42 and 1,155.20

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Solution

The fourth proportional to 1,191.65, 1,777.42 and 1,155.20 is: 1,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.65 : 1,777.42 = 1,155.20 : x
  2. Step 2: Convert to fraction form
    1,191.65/1,777.42 = 1,155.20/x
  3. Step 3: Cross multiply
    1,191.65x = 1,777.42 × 1,155.20
  4. Step 4: Simplify right side
    1,191.65x = 2,053,268.14
  5. Step 5: Solve for x
    x = 2,053,268.14/1,191.65
  6. Step 6: Final answer
    x = 1,723.05

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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.