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Finding the Fourth Proportional to 806.11, 1,118.12 and 784.78

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Solution

The fourth proportional to 806.11, 1,118.12 and 784.78 is: 1,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.11 : 1,118.12 = 784.78 : x
  2. Step 2: Convert to fraction form
    806.11/1,118.12 = 784.78/x
  3. Step 3: Cross multiply
    806.11x = 1,118.12 × 784.78
  4. Step 4: Simplify right side
    806.11x = 877,478.21
  5. Step 5: Solve for x
    x = 877,478.21/806.11
  6. Step 6: Final answer
    x = 1,088.53

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.