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Finding the Fourth Proportional to 847.11, 1,168.92 and 474.12

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Solution

The fourth proportional to 847.11, 1,168.92 and 474.12 is: 654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.11 : 1,168.92 = 474.12 : x
  2. Step 2: Convert to fraction form
    847.11/1,168.92 = 474.12/x
  3. Step 3: Cross multiply
    847.11x = 1,168.92 × 474.12
  4. Step 4: Simplify right side
    847.11x = 554,208.35
  5. Step 5: Solve for x
    x = 554,208.35/847.11
  6. Step 6: Final answer
    x = 654.23

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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.