Home / 1,286.45-1,929.66-464.71

Finding the Fourth Proportional to 1,286.45, 1,929.66 and 464.71

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Solution

The fourth proportional to 1,286.45, 1,929.66 and 464.71 is: 697.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.45 : 1,929.66 = 464.71 : x
  2. Step 2: Convert to fraction form
    1,286.45/1,929.66 = 464.71/x
  3. Step 3: Cross multiply
    1,286.45x = 1,929.66 × 464.71
  4. Step 4: Simplify right side
    1,286.45x = 896,732.30
  5. Step 5: Solve for x
    x = 896,732.30/1,286.45
  6. Step 6: Final answer
    x = 697.06

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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.