Home / 1,286.67-1,929.51-464.73

Finding the Fourth Proportional to 1,286.67, 1,929.51 and 464.73

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Solution

The fourth proportional to 1,286.67, 1,929.51 and 464.73 is: 696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.67 : 1,929.51 = 464.73 : x
  2. Step 2: Convert to fraction form
    1,286.67/1,929.51 = 464.73/x
  3. Step 3: Cross multiply
    1,286.67x = 1,929.51 × 464.73
  4. Step 4: Simplify right side
    1,286.67x = 896,701.18
  5. Step 5: Solve for x
    x = 896,701.18/1,286.67
  6. Step 6: Final answer
    x = 696.92

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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.