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Finding the Fourth Proportional to 928.89, 1,274.78 and 841.41

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Solution

The fourth proportional to 928.89, 1,274.78 and 841.41 is: 1,154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.89 : 1,274.78 = 841.41 : x
  2. Step 2: Convert to fraction form
    928.89/1,274.78 = 841.41/x
  3. Step 3: Cross multiply
    928.89x = 1,274.78 × 841.41
  4. Step 4: Simplify right side
    928.89x = 1,072,614.74
  5. Step 5: Solve for x
    x = 1,072,614.74/928.89
  6. Step 6: Final answer
    x = 1,154.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.