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Finding the Fourth Proportional to 1,165.64, 1,749.33 and 794.57

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Solution

The fourth proportional to 1,165.64, 1,749.33 and 794.57 is: 1,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.64 : 1,749.33 = 794.57 : x
  2. Step 2: Convert to fraction form
    1,165.64/1,749.33 = 794.57/x
  3. Step 3: Cross multiply
    1,165.64x = 1,749.33 × 794.57
  4. Step 4: Simplify right side
    1,165.64x = 1,389,956.39
  5. Step 5: Solve for x
    x = 1,389,956.39/1,165.64
  6. Step 6: Final answer
    x = 1,192.45

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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.