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Finding the Fourth Proportional to 867.36, 1,195.65 and 680.46

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Solution

The fourth proportional to 867.36, 1,195.65 and 680.46 is: 938.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.36 : 1,195.65 = 680.46 : x
  2. Step 2: Convert to fraction form
    867.36/1,195.65 = 680.46/x
  3. Step 3: Cross multiply
    867.36x = 1,195.65 × 680.46
  4. Step 4: Simplify right side
    867.36x = 813,592.00
  5. Step 5: Solve for x
    x = 813,592.00/867.36
  6. Step 6: Final answer
    x = 938.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.