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Finding the Fourth Proportional to 937.13, 1,292.70 and 684.73

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Solution

The fourth proportional to 937.13, 1,292.70 and 684.73 is: 944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.13 : 1,292.70 = 684.73 : x
  2. Step 2: Convert to fraction form
    937.13/1,292.70 = 684.73/x
  3. Step 3: Cross multiply
    937.13x = 1,292.70 × 684.73
  4. Step 4: Simplify right side
    937.13x = 885,147.05
  5. Step 5: Solve for x
    x = 885,147.05/937.13
  6. Step 6: Final answer
    x = 944.53

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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.