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Finding the Fourth Proportional to 1,399.48, 1,930.44 and 875.68

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Solution

The fourth proportional to 1,399.48, 1,930.44 and 875.68 is: 1,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.48 : 1,930.44 = 875.68 : x
  2. Step 2: Convert to fraction form
    1,399.48/1,930.44 = 875.68/x
  3. Step 3: Cross multiply
    1,399.48x = 1,930.44 × 875.68
  4. Step 4: Simplify right side
    1,399.48x = 1,690,447.70
  5. Step 5: Solve for x
    x = 1,690,447.70/1,399.48
  6. Step 6: Final answer
    x = 1,207.91

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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.