Home / 1,281.31-1,922.06-459.83

Finding the Fourth Proportional to 1,281.31, 1,922.06 and 459.83

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Solution

The fourth proportional to 1,281.31, 1,922.06 and 459.83 is: 689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.31 : 1,922.06 = 459.83 : x
  2. Step 2: Convert to fraction form
    1,281.31/1,922.06 = 459.83/x
  3. Step 3: Cross multiply
    1,281.31x = 1,922.06 × 459.83
  4. Step 4: Simplify right side
    1,281.31x = 883,826.80
  5. Step 5: Solve for x
    x = 883,826.80/1,281.31
  6. Step 6: Final answer
    x = 689.79

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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.