Home / 1,289.12-1,934.31-704.10

Finding the Fourth Proportional to 1,289.12, 1,934.31 and 704.10

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Solution

The fourth proportional to 1,289.12, 1,934.31 and 704.10 is: 1,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.12 : 1,934.31 = 704.10 : x
  2. Step 2: Convert to fraction form
    1,289.12/1,934.31 = 704.10/x
  3. Step 3: Cross multiply
    1,289.12x = 1,934.31 × 704.10
  4. Step 4: Simplify right side
    1,289.12x = 1,361,947.67
  5. Step 5: Solve for x
    x = 1,361,947.67/1,289.12
  6. Step 6: Final answer
    x = 1,056.49

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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.