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Finding the Fourth Proportional to 937.87, 1,293.82 and 606.40

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Solution

The fourth proportional to 937.87, 1,293.82 and 606.40 is: 836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.87 : 1,293.82 = 606.40 : x
  2. Step 2: Convert to fraction form
    937.87/1,293.82 = 606.40/x
  3. Step 3: Cross multiply
    937.87x = 1,293.82 × 606.40
  4. Step 4: Simplify right side
    937.87x = 784,567.70
  5. Step 5: Solve for x
    x = 784,567.70/937.87
  6. Step 6: Final answer
    x = 836.54

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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.