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Finding the Fourth Proportional to 937.74, 1,293.93 and 544.78

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Solution

The fourth proportional to 937.74, 1,293.93 and 544.78 is: 751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.74 : 1,293.93 = 544.78 : x
  2. Step 2: Convert to fraction form
    937.74/1,293.93 = 544.78/x
  3. Step 3: Cross multiply
    937.74x = 1,293.93 × 544.78
  4. Step 4: Simplify right side
    937.74x = 704,907.19
  5. Step 5: Solve for x
    x = 704,907.19/937.74
  6. Step 6: Final answer
    x = 751.71

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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.