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Finding the Fourth Proportional to 1,071.64, 1,478.14 and 806.77

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Solution

The fourth proportional to 1,071.64, 1,478.14 and 806.77 is: 1,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.64 : 1,478.14 = 806.77 : x
  2. Step 2: Convert to fraction form
    1,071.64/1,478.14 = 806.77/x
  3. Step 3: Cross multiply
    1,071.64x = 1,478.14 × 806.77
  4. Step 4: Simplify right side
    1,071.64x = 1,192,519.01
  5. Step 5: Solve for x
    x = 1,192,519.01/1,071.64
  6. Step 6: Final answer
    x = 1,112.80

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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.