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Finding the Fourth Proportional to 1,305.13, 1,955.34 and 865.34

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Solution

The fourth proportional to 1,305.13, 1,955.34 and 865.34 is: 1,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.13 : 1,955.34 = 865.34 : x
  2. Step 2: Convert to fraction form
    1,305.13/1,955.34 = 865.34/x
  3. Step 3: Cross multiply
    1,305.13x = 1,955.34 × 865.34
  4. Step 4: Simplify right side
    1,305.13x = 1,692,033.92
  5. Step 5: Solve for x
    x = 1,692,033.92/1,305.13
  6. Step 6: Final answer
    x = 1,296.45

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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.