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Finding the Fourth Proportional to 866.36, 1,288.41 and 839.02

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Solution

The fourth proportional to 866.36, 1,288.41 and 839.02 is: 1,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.36 : 1,288.41 = 839.02 : x
  2. Step 2: Convert to fraction form
    866.36/1,288.41 = 839.02/x
  3. Step 3: Cross multiply
    866.36x = 1,288.41 × 839.02
  4. Step 4: Simplify right side
    866.36x = 1,081,001.76
  5. Step 5: Solve for x
    x = 1,081,001.76/866.36
  6. Step 6: Final answer
    x = 1,247.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.