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Finding the Fourth Proportional to 937.41, 1,293.57 and 564.21

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Solution

The fourth proportional to 937.41, 1,293.57 and 564.21 is: 778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.41 : 1,293.57 = 564.21 : x
  2. Step 2: Convert to fraction form
    937.41/1,293.57 = 564.21/x
  3. Step 3: Cross multiply
    937.41x = 1,293.57 × 564.21
  4. Step 4: Simplify right side
    937.41x = 729,845.13
  5. Step 5: Solve for x
    x = 729,845.13/937.41
  6. Step 6: Final answer
    x = 778.58

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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.