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Finding the Fourth Proportional to 937.69, 1,287.10 and 830.44

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Solution

The fourth proportional to 937.69, 1,287.10 and 830.44 is: 1,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.69 : 1,287.10 = 830.44 : x
  2. Step 2: Convert to fraction form
    937.69/1,287.10 = 830.44/x
  3. Step 3: Cross multiply
    937.69x = 1,287.10 × 830.44
  4. Step 4: Simplify right side
    937.69x = 1,068,859.32
  5. Step 5: Solve for x
    x = 1,068,859.32/937.69
  6. Step 6: Final answer
    x = 1,139.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.