Home / 1,284.05-1,926.38-462.92

Finding the Fourth Proportional to 1,284.05, 1,926.38 and 462.92

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Solution

The fourth proportional to 1,284.05, 1,926.38 and 462.92 is: 694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.05 : 1,926.38 = 462.92 : x
  2. Step 2: Convert to fraction form
    1,284.05/1,926.38 = 462.92/x
  3. Step 3: Cross multiply
    1,284.05x = 1,926.38 × 462.92
  4. Step 4: Simplify right side
    1,284.05x = 891,751.35
  5. Step 5: Solve for x
    x = 891,751.35/1,284.05
  6. Step 6: Final answer
    x = 694.48

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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.