Home / 1,643.30-2,464.50-809.96

Finding the Fourth Proportional to 1,643.30, 2,464.50 and 809.96

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Solution

The fourth proportional to 1,643.30, 2,464.50 and 809.96 is: 1,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.30 : 2,464.50 = 809.96 : x
  2. Step 2: Convert to fraction form
    1,643.30/2,464.50 = 809.96/x
  3. Step 3: Cross multiply
    1,643.30x = 2,464.50 × 809.96
  4. Step 4: Simplify right side
    1,643.30x = 1,996,146.42
  5. Step 5: Solve for x
    x = 1,996,146.42/1,643.30
  6. Step 6: Final answer
    x = 1,214.72

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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.