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Finding the Fourth Proportional to 1,158.64, 1,738.76 and 793.76

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Solution

The fourth proportional to 1,158.64, 1,738.76 and 793.76 is: 1,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.64 : 1,738.76 = 793.76 : x
  2. Step 2: Convert to fraction form
    1,158.64/1,738.76 = 793.76/x
  3. Step 3: Cross multiply
    1,158.64x = 1,738.76 × 793.76
  4. Step 4: Simplify right side
    1,158.64x = 1,380,158.14
  5. Step 5: Solve for x
    x = 1,380,158.14/1,158.64
  6. Step 6: Final answer
    x = 1,191.19

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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.