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Finding the Fourth Proportional to 1,436, 1,981.78 and 806.52

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Solution

The fourth proportional to 1,436, 1,981.78 and 806.52 is: 1,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436 : 1,981.78 = 806.52 : x
  2. Step 2: Convert to fraction form
    1,436/1,981.78 = 806.52/x
  3. Step 3: Cross multiply
    1,436x = 1,981.78 × 806.52
  4. Step 4: Simplify right side
    1,436x = 1,598,345.21
  5. Step 5: Solve for x
    x = 1,598,345.21/1,436
  6. Step 6: Final answer
    x = 1,113.05

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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.