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Finding the Fourth Proportional to 1,165.68, 1,749.42 and 1,029

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Solution

The fourth proportional to 1,165.68, 1,749.42 and 1,029 is: 1,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.68 : 1,749.42 = 1,029 : x
  2. Step 2: Convert to fraction form
    1,165.68/1,749.42 = 1,029/x
  3. Step 3: Cross multiply
    1,165.68x = 1,749.42 × 1,029
  4. Step 4: Simplify right side
    1,165.68x = 1,800,153.18
  5. Step 5: Solve for x
    x = 1,800,153.18/1,165.68
  6. Step 6: Final answer
    x = 1,544.29

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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.