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Finding the Fourth Proportional to 937.05, 1,293.39 and 642.27

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Solution

The fourth proportional to 937.05, 1,293.39 and 642.27 is: 886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.05 : 1,293.39 = 642.27 : x
  2. Step 2: Convert to fraction form
    937.05/1,293.39 = 642.27/x
  3. Step 3: Cross multiply
    937.05x = 1,293.39 × 642.27
  4. Step 4: Simplify right side
    937.05x = 830,705.60
  5. Step 5: Solve for x
    x = 830,705.60/937.05
  6. Step 6: Final answer
    x = 886.51

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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.