Home / 1,286.43-1,929.80-464.77

Finding the Fourth Proportional to 1,286.43, 1,929.80 and 464.77

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Solution

The fourth proportional to 1,286.43, 1,929.80 and 464.77 is: 697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.43 : 1,929.80 = 464.77 : x
  2. Step 2: Convert to fraction form
    1,286.43/1,929.80 = 464.77/x
  3. Step 3: Cross multiply
    1,286.43x = 1,929.80 × 464.77
  4. Step 4: Simplify right side
    1,286.43x = 896,913.15
  5. Step 5: Solve for x
    x = 896,913.15/1,286.43
  6. Step 6: Final answer
    x = 697.21

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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.