Home / 1,284.13-1,923.90-461.88

Finding the Fourth Proportional to 1,284.13, 1,923.90 and 461.88

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Solution

The fourth proportional to 1,284.13, 1,923.90 and 461.88 is: 691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.13 : 1,923.90 = 461.88 : x
  2. Step 2: Convert to fraction form
    1,284.13/1,923.90 = 461.88/x
  3. Step 3: Cross multiply
    1,284.13x = 1,923.90 × 461.88
  4. Step 4: Simplify right side
    1,284.13x = 888,610.93
  5. Step 5: Solve for x
    x = 888,610.93/1,284.13
  6. Step 6: Final answer
    x = 691.99

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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.