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Finding the Fourth Proportional to 919.06, 1,371.86 and 809.71

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Solution

The fourth proportional to 919.06, 1,371.86 and 809.71 is: 1,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.06 : 1,371.86 = 809.71 : x
  2. Step 2: Convert to fraction form
    919.06/1,371.86 = 809.71/x
  3. Step 3: Cross multiply
    919.06x = 1,371.86 × 809.71
  4. Step 4: Simplify right side
    919.06x = 1,110,808.76
  5. Step 5: Solve for x
    x = 1,110,808.76/919.06
  6. Step 6: Final answer
    x = 1,208.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.