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Finding the Fourth Proportional to 866.95, 1,196.31 and 494.02

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Solution

The fourth proportional to 866.95, 1,196.31 and 494.02 is: 681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.95 : 1,196.31 = 494.02 : x
  2. Step 2: Convert to fraction form
    866.95/1,196.31 = 494.02/x
  3. Step 3: Cross multiply
    866.95x = 1,196.31 × 494.02
  4. Step 4: Simplify right side
    866.95x = 591,001.07
  5. Step 5: Solve for x
    x = 591,001.07/866.95
  6. Step 6: Final answer
    x = 681.70

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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.