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Finding the Fourth Proportional to 937.58, 1,293.45 and 727.82

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Solution

The fourth proportional to 937.58, 1,293.45 and 727.82 is: 1,004.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.58 : 1,293.45 = 727.82 : x
  2. Step 2: Convert to fraction form
    937.58/1,293.45 = 727.82/x
  3. Step 3: Cross multiply
    937.58x = 1,293.45 × 727.82
  4. Step 4: Simplify right side
    937.58x = 941,398.78
  5. Step 5: Solve for x
    x = 941,398.78/937.58
  6. Step 6: Final answer
    x = 1,004.07

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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.