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Finding the Fourth Proportional to 809.16, 1,116.51 and 459.78

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Solution

The fourth proportional to 809.16, 1,116.51 and 459.78 is: 634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.16 : 1,116.51 = 459.78 : x
  2. Step 2: Convert to fraction form
    809.16/1,116.51 = 459.78/x
  3. Step 3: Cross multiply
    809.16x = 1,116.51 × 459.78
  4. Step 4: Simplify right side
    809.16x = 513,348.97
  5. Step 5: Solve for x
    x = 513,348.97/809.16
  6. Step 6: Final answer
    x = 634.42

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1.5x scale

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.