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Finding the Fourth Proportional to 1,174.74, 1,758.18 and 1,159.20

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Solution

The fourth proportional to 1,174.74, 1,758.18 and 1,159.20 is: 1,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.74 : 1,758.18 = 1,159.20 : x
  2. Step 2: Convert to fraction form
    1,174.74/1,758.18 = 1,159.20/x
  3. Step 3: Cross multiply
    1,174.74x = 1,758.18 × 1,159.20
  4. Step 4: Simplify right side
    1,174.74x = 2,038,082.26
  5. Step 5: Solve for x
    x = 2,038,082.26/1,174.74
  6. Step 6: Final answer
    x = 1,734.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.