Home / 1,292.88-1,939.62-459.90

Finding the Fourth Proportional to 1,292.88, 1,939.62 and 459.90

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Solution

The fourth proportional to 1,292.88, 1,939.62 and 459.90 is: 689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.88 : 1,939.62 = 459.90 : x
  2. Step 2: Convert to fraction form
    1,292.88/1,939.62 = 459.90/x
  3. Step 3: Cross multiply
    1,292.88x = 1,939.62 × 459.90
  4. Step 4: Simplify right side
    1,292.88x = 892,031.24
  5. Step 5: Solve for x
    x = 892,031.24/1,292.88
  6. Step 6: Final answer
    x = 689.96

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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.