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Finding the Fourth Proportional to 636.16, 870.56 and 622.72

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Solution

The fourth proportional to 636.16, 870.56 and 622.72 is: 852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.16 : 870.56 = 622.72 : x
  2. Step 2: Convert to fraction form
    636.16/870.56 = 622.72/x
  3. Step 3: Cross multiply
    636.16x = 870.56 × 622.72
  4. Step 4: Simplify right side
    636.16x = 542,115.12
  5. Step 5: Solve for x
    x = 542,115.12/636.16
  6. Step 6: Final answer
    x = 852.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.