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Finding the Fourth Proportional to 809.78, 1,118.28 and 698.22

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Solution

The fourth proportional to 809.78, 1,118.28 and 698.22 is: 964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.78 : 1,118.28 = 698.22 : x
  2. Step 2: Convert to fraction form
    809.78/1,118.28 = 698.22/x
  3. Step 3: Cross multiply
    809.78x = 1,118.28 × 698.22
  4. Step 4: Simplify right side
    809.78x = 780,805.46
  5. Step 5: Solve for x
    x = 780,805.46/809.78
  6. Step 6: Final answer
    x = 964.22

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Double scale
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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.