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Finding the Fourth Proportional to 1,298.13, 1,791 and 738.42

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Solution

The fourth proportional to 1,298.13, 1,791 and 738.42 is: 1,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.13 : 1,791 = 738.42 : x
  2. Step 2: Convert to fraction form
    1,298.13/1,791 = 738.42/x
  3. Step 3: Cross multiply
    1,298.13x = 1,791 × 738.42
  4. Step 4: Simplify right side
    1,298.13x = 1,322,510.22
  5. Step 5: Solve for x
    x = 1,322,510.22/1,298.13
  6. Step 6: Final answer
    x = 1,018.78

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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.