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Finding the Fourth Proportional to 948.97, 1,310.03 and 738.73

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Solution

The fourth proportional to 948.97, 1,310.03 and 738.73 is: 1,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.97 : 1,310.03 = 738.73 : x
  2. Step 2: Convert to fraction form
    948.97/1,310.03 = 738.73/x
  3. Step 3: Cross multiply
    948.97x = 1,310.03 × 738.73
  4. Step 4: Simplify right side
    948.97x = 967,758.46
  5. Step 5: Solve for x
    x = 967,758.46/948.97
  6. Step 6: Final answer
    x = 1,019.80

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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.