Home / 1,406.40-2,108.67-747.83

Finding the Fourth Proportional to 1,406.40, 2,108.67 and 747.83

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Solution

The fourth proportional to 1,406.40, 2,108.67 and 747.83 is: 1,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.40 : 2,108.67 = 747.83 : x
  2. Step 2: Convert to fraction form
    1,406.40/2,108.67 = 747.83/x
  3. Step 3: Cross multiply
    1,406.40x = 2,108.67 × 747.83
  4. Step 4: Simplify right side
    1,406.40x = 1,576,932.31
  5. Step 5: Solve for x
    x = 1,576,932.31/1,406.40
  6. Step 6: Final answer
    x = 1,121.25

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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.