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Finding the Fourth Proportional to 975.11, 1,344.20 and 809.87

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Solution

The fourth proportional to 975.11, 1,344.20 and 809.87 is: 1,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.11 : 1,344.20 = 809.87 : x
  2. Step 2: Convert to fraction form
    975.11/1,344.20 = 809.87/x
  3. Step 3: Cross multiply
    975.11x = 1,344.20 × 809.87
  4. Step 4: Simplify right side
    975.11x = 1,088,616.48
  5. Step 5: Solve for x
    x = 1,088,616.48/975.11
  6. Step 6: Final answer
    x = 1,116.41

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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.