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Finding the Fourth Proportional to 913.68, 1,378.62 and 873.72

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Solution

The fourth proportional to 913.68, 1,378.62 and 873.72 is: 1,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.68 : 1,378.62 = 873.72 : x
  2. Step 2: Convert to fraction form
    913.68/1,378.62 = 873.72/x
  3. Step 3: Cross multiply
    913.68x = 1,378.62 × 873.72
  4. Step 4: Simplify right side
    913.68x = 1,204,527.87
  5. Step 5: Solve for x
    x = 1,204,527.87/913.68
  6. Step 6: Final answer
    x = 1,318.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.