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Finding the Fourth Proportional to 783.78, 1,081.62 and 443.10

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Solution

The fourth proportional to 783.78, 1,081.62 and 443.10 is: 611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.78 : 1,081.62 = 443.10 : x
  2. Step 2: Convert to fraction form
    783.78/1,081.62 = 443.10/x
  3. Step 3: Cross multiply
    783.78x = 1,081.62 × 443.10
  4. Step 4: Simplify right side
    783.78x = 479,265.82
  5. Step 5: Solve for x
    x = 479,265.82/783.78
  6. Step 6: Final answer
    x = 611.48

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Double scale
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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.