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Finding the Fourth Proportional to 1,318.91, 1,977.53 and 742.19

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Solution

The fourth proportional to 1,318.91, 1,977.53 and 742.19 is: 1,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.91 : 1,977.53 = 742.19 : x
  2. Step 2: Convert to fraction form
    1,318.91/1,977.53 = 742.19/x
  3. Step 3: Cross multiply
    1,318.91x = 1,977.53 × 742.19
  4. Step 4: Simplify right side
    1,318.91x = 1,467,689.39
  5. Step 5: Solve for x
    x = 1,467,689.39/1,318.91
  6. Step 6: Final answer
    x = 1,112.81

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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.