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Finding the Fourth Proportional to 866.04, 1,194.06 and 699.64

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Solution

The fourth proportional to 866.04, 1,194.06 and 699.64 is: 964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.04 : 1,194.06 = 699.64 : x
  2. Step 2: Convert to fraction form
    866.04/1,194.06 = 699.64/x
  3. Step 3: Cross multiply
    866.04x = 1,194.06 × 699.64
  4. Step 4: Simplify right side
    866.04x = 835,412.14
  5. Step 5: Solve for x
    x = 835,412.14/866.04
  6. Step 6: Final answer
    x = 964.63

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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.