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Finding the Fourth Proportional to 684.93, 1,022.36 and 636.78

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Solution

The fourth proportional to 684.93, 1,022.36 and 636.78 is: 950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.93 : 1,022.36 = 636.78 : x
  2. Step 2: Convert to fraction form
    684.93/1,022.36 = 636.78/x
  3. Step 3: Cross multiply
    684.93x = 1,022.36 × 636.78
  4. Step 4: Simplify right side
    684.93x = 651,015.22
  5. Step 5: Solve for x
    x = 651,015.22/684.93
  6. Step 6: Final answer
    x = 950.48

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1.5x scale

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.