Home / 1,284.42-1,926.81-462.54

Finding the Fourth Proportional to 1,284.42, 1,926.81 and 462.54

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Solution

The fourth proportional to 1,284.42, 1,926.81 and 462.54 is: 693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.42 : 1,926.81 = 462.54 : x
  2. Step 2: Convert to fraction form
    1,284.42/1,926.81 = 462.54/x
  3. Step 3: Cross multiply
    1,284.42x = 1,926.81 × 462.54
  4. Step 4: Simplify right side
    1,284.42x = 891,226.70
  5. Step 5: Solve for x
    x = 891,226.70/1,284.42
  6. Step 6: Final answer
    x = 693.87

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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.