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Finding the Fourth Proportional to 677.74, 1,020.88 and 636.74

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Solution

The fourth proportional to 677.74, 1,020.88 and 636.74 is: 959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.74 : 1,020.88 = 636.74 : x
  2. Step 2: Convert to fraction form
    677.74/1,020.88 = 636.74/x
  3. Step 3: Cross multiply
    677.74x = 1,020.88 × 636.74
  4. Step 4: Simplify right side
    677.74x = 650,035.13
  5. Step 5: Solve for x
    x = 650,035.13/677.74
  6. Step 6: Final answer
    x = 959.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.