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Finding the Fourth Proportional to 1,139.32, 1,709.40 and 481.36

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Solution

The fourth proportional to 1,139.32, 1,709.40 and 481.36 is: 722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.32 : 1,709.40 = 481.36 : x
  2. Step 2: Convert to fraction form
    1,139.32/1,709.40 = 481.36/x
  3. Step 3: Cross multiply
    1,139.32x = 1,709.40 × 481.36
  4. Step 4: Simplify right side
    1,139.32x = 822,836.78
  5. Step 5: Solve for x
    x = 822,836.78/1,139.32
  6. Step 6: Final answer
    x = 722.22

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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.