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Finding the Fourth Proportional to 866.95, 1,196.42 and 474.00

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Solution

The fourth proportional to 866.95, 1,196.42 and 474.00 is: 654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.95 : 1,196.42 = 474.00 : x
  2. Step 2: Convert to fraction form
    866.95/1,196.42 = 474.00/x
  3. Step 3: Cross multiply
    866.95x = 1,196.42 × 474.00
  4. Step 4: Simplify right side
    866.95x = 567,105.62
  5. Step 5: Solve for x
    x = 567,105.62/866.95
  6. Step 6: Final answer
    x = 654.14

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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.