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Finding the Fourth Proportional to 1,165.50, 1,748.52 and 840.29

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Solution

The fourth proportional to 1,165.50, 1,748.52 and 840.29 is: 1,260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.50 : 1,748.52 = 840.29 : x
  2. Step 2: Convert to fraction form
    1,165.50/1,748.52 = 840.29/x
  3. Step 3: Cross multiply
    1,165.50x = 1,748.52 × 840.29
  4. Step 4: Simplify right side
    1,165.50x = 1,469,255.13
  5. Step 5: Solve for x
    x = 1,469,255.13/1,165.50
  6. Step 6: Final answer
    x = 1,260.62

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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.