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Finding the Fourth Proportional to 938.57, 1,410.89 and 909.41

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Solution

The fourth proportional to 938.57, 1,410.89 and 909.41 is: 1,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.57 : 1,410.89 = 909.41 : x
  2. Step 2: Convert to fraction form
    938.57/1,410.89 = 909.41/x
  3. Step 3: Cross multiply
    938.57x = 1,410.89 × 909.41
  4. Step 4: Simplify right side
    938.57x = 1,283,065.87
  5. Step 5: Solve for x
    x = 1,283,065.87/938.57
  6. Step 6: Final answer
    x = 1,367.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.