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Finding the Fourth Proportional to 981.68, 1,353.93 and 863.40

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Solution

The fourth proportional to 981.68, 1,353.93 and 863.40 is: 1,190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.68 : 1,353.93 = 863.40 : x
  2. Step 2: Convert to fraction form
    981.68/1,353.93 = 863.40/x
  3. Step 3: Cross multiply
    981.68x = 1,353.93 × 863.40
  4. Step 4: Simplify right side
    981.68x = 1,168,983.16
  5. Step 5: Solve for x
    x = 1,168,983.16/981.68
  6. Step 6: Final answer
    x = 1,190.80

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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.