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Finding the Fourth Proportional to 809.36, 1,114.44 and 715.76

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Solution

The fourth proportional to 809.36, 1,114.44 and 715.76 is: 985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.36 : 1,114.44 = 715.76 : x
  2. Step 2: Convert to fraction form
    809.36/1,114.44 = 715.76/x
  3. Step 3: Cross multiply
    809.36x = 1,114.44 × 715.76
  4. Step 4: Simplify right side
    809.36x = 797,671.57
  5. Step 5: Solve for x
    x = 797,671.57/809.36
  6. Step 6: Final answer
    x = 985.56

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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.