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Finding the Fourth Proportional to 903.69, 1,245.96 and 746.95

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Solution

The fourth proportional to 903.69, 1,245.96 and 746.95 is: 1,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.69 : 1,245.96 = 746.95 : x
  2. Step 2: Convert to fraction form
    903.69/1,245.96 = 746.95/x
  3. Step 3: Cross multiply
    903.69x = 1,245.96 × 746.95
  4. Step 4: Simplify right side
    903.69x = 930,669.82
  5. Step 5: Solve for x
    x = 930,669.82/903.69
  6. Step 6: Final answer
    x = 1,029.86

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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.