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Finding the Fourth Proportional to 1,488.36, 2,232.54 and 939.18

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Solution

The fourth proportional to 1,488.36, 2,232.54 and 939.18 is: 1,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.36 : 2,232.54 = 939.18 : x
  2. Step 2: Convert to fraction form
    1,488.36/2,232.54 = 939.18/x
  3. Step 3: Cross multiply
    1,488.36x = 2,232.54 × 939.18
  4. Step 4: Simplify right side
    1,488.36x = 2,096,756.92
  5. Step 5: Solve for x
    x = 2,096,756.92/1,488.36
  6. Step 6: Final answer
    x = 1,408.77

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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.