Home / 1,286.04-1,929.88-464.30

Finding the Fourth Proportional to 1,286.04, 1,929.88 and 464.30

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Solution

The fourth proportional to 1,286.04, 1,929.88 and 464.30 is: 696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.04 : 1,929.88 = 464.30 : x
  2. Step 2: Convert to fraction form
    1,286.04/1,929.88 = 464.30/x
  3. Step 3: Cross multiply
    1,286.04x = 1,929.88 × 464.30
  4. Step 4: Simplify right side
    1,286.04x = 896,043.28
  5. Step 5: Solve for x
    x = 896,043.28/1,286.04
  6. Step 6: Final answer
    x = 696.75

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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.