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Finding the Fourth Proportional to 677.44, 1,010.84 and 636.16

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Solution

The fourth proportional to 677.44, 1,010.84 and 636.16 is: 949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.44 : 1,010.84 = 636.16 : x
  2. Step 2: Convert to fraction form
    677.44/1,010.84 = 636.16/x
  3. Step 3: Cross multiply
    677.44x = 1,010.84 × 636.16
  4. Step 4: Simplify right side
    677.44x = 643,055.97
  5. Step 5: Solve for x
    x = 643,055.97/677.44
  6. Step 6: Final answer
    x = 949.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.