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Finding the Fourth Proportional to 618.42, 926.12 and 400.80

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Solution

The fourth proportional to 618.42, 926.12 and 400.80 is: 600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.42 : 926.12 = 400.80 : x
  2. Step 2: Convert to fraction form
    618.42/926.12 = 400.80/x
  3. Step 3: Cross multiply
    618.42x = 926.12 × 400.80
  4. Step 4: Simplify right side
    618.42x = 371,188.90
  5. Step 5: Solve for x
    x = 371,188.90/618.42
  6. Step 6: Final answer
    x = 600.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.