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Finding the Fourth Proportional to 1,158.24, 1,736.32 and 865.38

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Solution

The fourth proportional to 1,158.24, 1,736.32 and 865.38 is: 1,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.24 : 1,736.32 = 865.38 : x
  2. Step 2: Convert to fraction form
    1,158.24/1,736.32 = 865.38/x
  3. Step 3: Cross multiply
    1,158.24x = 1,736.32 × 865.38
  4. Step 4: Simplify right side
    1,158.24x = 1,502,576.60
  5. Step 5: Solve for x
    x = 1,502,576.60/1,158.24
  6. Step 6: Final answer
    x = 1,297.29

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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.