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Finding the Fourth Proportional to 867.14, 1,196.68 and 474.20

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Solution

The fourth proportional to 867.14, 1,196.68 and 474.20 is: 654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.14 : 1,196.68 = 474.20 : x
  2. Step 2: Convert to fraction form
    867.14/1,196.68 = 474.20/x
  3. Step 3: Cross multiply
    867.14x = 1,196.68 × 474.20
  4. Step 4: Simplify right side
    867.14x = 567,465.66
  5. Step 5: Solve for x
    x = 567,465.66/867.14
  6. Step 6: Final answer
    x = 654.41

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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.