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Finding the Fourth Proportional to 612.78, 845.22 and 402.96

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Solution

The fourth proportional to 612.78, 845.22 and 402.96 is: 555.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.78 : 845.22 = 402.96 : x
  2. Step 2: Convert to fraction form
    612.78/845.22 = 402.96/x
  3. Step 3: Cross multiply
    612.78x = 845.22 × 402.96
  4. Step 4: Simplify right side
    612.78x = 340,589.85
  5. Step 5: Solve for x
    x = 340,589.85/612.78
  6. Step 6: Final answer
    x = 555.81

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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.