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Finding the Fourth Proportional to 622.08, 864.24 and 616.44

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Solution

The fourth proportional to 622.08, 864.24 and 616.44 is: 856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.08 : 864.24 = 616.44 : x
  2. Step 2: Convert to fraction form
    622.08/864.24 = 616.44/x
  3. Step 3: Cross multiply
    622.08x = 864.24 × 616.44
  4. Step 4: Simplify right side
    622.08x = 532,752.11
  5. Step 5: Solve for x
    x = 532,752.11/622.08
  6. Step 6: Final answer
    x = 856.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.