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Finding the Fourth Proportional to 866.68, 1,196.04 and 656.48

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Solution

The fourth proportional to 866.68, 1,196.04 and 656.48 is: 905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.68 : 1,196.04 = 656.48 : x
  2. Step 2: Convert to fraction form
    866.68/1,196.04 = 656.48/x
  3. Step 3: Cross multiply
    866.68x = 1,196.04 × 656.48
  4. Step 4: Simplify right side
    866.68x = 785,176.34
  5. Step 5: Solve for x
    x = 785,176.34/866.68
  6. Step 6: Final answer
    x = 905.96

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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.