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Finding the Fourth Proportional to 1,008.10, 1,392.06 and 635.70

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Solution

The fourth proportional to 1,008.10, 1,392.06 and 635.70 is: 877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.10 : 1,392.06 = 635.70 : x
  2. Step 2: Convert to fraction form
    1,008.10/1,392.06 = 635.70/x
  3. Step 3: Cross multiply
    1,008.10x = 1,392.06 × 635.70
  4. Step 4: Simplify right side
    1,008.10x = 884,932.54
  5. Step 5: Solve for x
    x = 884,932.54/1,008.10
  6. Step 6: Final answer
    x = 877.83

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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.