Home / 1,284.27-1,926.40-462.52

Finding the Fourth Proportional to 1,284.27, 1,926.40 and 462.52

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Solution

The fourth proportional to 1,284.27, 1,926.40 and 462.52 is: 693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.27 : 1,926.40 = 462.52 : x
  2. Step 2: Convert to fraction form
    1,284.27/1,926.40 = 462.52/x
  3. Step 3: Cross multiply
    1,284.27x = 1,926.40 × 462.52
  4. Step 4: Simplify right side
    1,284.27x = 890,998.53
  5. Step 5: Solve for x
    x = 890,998.53/1,284.27
  6. Step 6: Final answer
    x = 693.78

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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.