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Finding the Fourth Proportional to 1,029.32, 1,420 and 636.28

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Solution

The fourth proportional to 1,029.32, 1,420 and 636.28 is: 877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.32 : 1,420 = 636.28 : x
  2. Step 2: Convert to fraction form
    1,029.32/1,420 = 636.28/x
  3. Step 3: Cross multiply
    1,029.32x = 1,420 × 636.28
  4. Step 4: Simplify right side
    1,029.32x = 903,517.60
  5. Step 5: Solve for x
    x = 903,517.60/1,029.32
  6. Step 6: Final answer
    x = 877.78

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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.