Home / 1,284.46-1,926.66-310.56

Finding the Fourth Proportional to 1,284.46, 1,926.66 and 310.56

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Solution

The fourth proportional to 1,284.46, 1,926.66 and 310.56 is: 465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.46 : 1,926.66 = 310.56 : x
  2. Step 2: Convert to fraction form
    1,284.46/1,926.66 = 310.56/x
  3. Step 3: Cross multiply
    1,284.46x = 1,926.66 × 310.56
  4. Step 4: Simplify right side
    1,284.46x = 598,343.53
  5. Step 5: Solve for x
    x = 598,343.53/1,284.46
  6. Step 6: Final answer
    x = 465.83

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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.