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Finding the Fourth Proportional to 677.48, 1,020.51 and 636.48

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Solution

The fourth proportional to 677.48, 1,020.51 and 636.48 is: 958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.48 : 1,020.51 = 636.48 : x
  2. Step 2: Convert to fraction form
    677.48/1,020.51 = 636.48/x
  3. Step 3: Cross multiply
    677.48x = 1,020.51 × 636.48
  4. Step 4: Simplify right side
    677.48x = 649,534.20
  5. Step 5: Solve for x
    x = 649,534.20/677.48
  6. Step 6: Final answer
    x = 958.76

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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.