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Finding the Fourth Proportional to 1,265.06, 1,898.36 and 865.26

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Solution

The fourth proportional to 1,265.06, 1,898.36 and 865.26 is: 1,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.06 : 1,898.36 = 865.26 : x
  2. Step 2: Convert to fraction form
    1,265.06/1,898.36 = 865.26/x
  3. Step 3: Cross multiply
    1,265.06x = 1,898.36 × 865.26
  4. Step 4: Simplify right side
    1,265.06x = 1,642,574.97
  5. Step 5: Solve for x
    x = 1,642,574.97/1,265.06
  6. Step 6: Final answer
    x = 1,298.42

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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.