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Finding the Fourth Proportional to 867.43, 1,197.03 and 474.43

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Solution

The fourth proportional to 867.43, 1,197.03 and 474.43 is: 654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.43 : 1,197.03 = 474.43 : x
  2. Step 2: Convert to fraction form
    867.43/1,197.03 = 474.43/x
  3. Step 3: Cross multiply
    867.43x = 1,197.03 × 474.43
  4. Step 4: Simplify right side
    867.43x = 567,906.94
  5. Step 5: Solve for x
    x = 567,906.94/867.43
  6. Step 6: Final answer
    x = 654.70

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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.