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Finding the Fourth Proportional to 1,037.91, 1,556.97 and 626.43

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Solution

The fourth proportional to 1,037.91, 1,556.97 and 626.43 is: 939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.91 : 1,556.97 = 626.43 : x
  2. Step 2: Convert to fraction form
    1,037.91/1,556.97 = 626.43/x
  3. Step 3: Cross multiply
    1,037.91x = 1,556.97 × 626.43
  4. Step 4: Simplify right side
    1,037.91x = 975,339.73
  5. Step 5: Solve for x
    x = 975,339.73/1,037.91
  6. Step 6: Final answer
    x = 939.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.