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Finding the Fourth Proportional to 806.56, 1,112.40 and 729.76

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Solution

The fourth proportional to 806.56, 1,112.40 and 729.76 is: 1,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.56 : 1,112.40 = 729.76 : x
  2. Step 2: Convert to fraction form
    806.56/1,112.40 = 729.76/x
  3. Step 3: Cross multiply
    806.56x = 1,112.40 × 729.76
  4. Step 4: Simplify right side
    806.56x = 811,785.02
  5. Step 5: Solve for x
    x = 811,785.02/806.56
  6. Step 6: Final answer
    x = 1,006.48

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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.