Home / 1,459.12-2,189.28-809.08

Finding the Fourth Proportional to 1,459.12, 2,189.28 and 809.08

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Solution

The fourth proportional to 1,459.12, 2,189.28 and 809.08 is: 1,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.12 : 2,189.28 = 809.08 : x
  2. Step 2: Convert to fraction form
    1,459.12/2,189.28 = 809.08/x
  3. Step 3: Cross multiply
    1,459.12x = 2,189.28 × 809.08
  4. Step 4: Simplify right side
    1,459.12x = 1,771,302.66
  5. Step 5: Solve for x
    x = 1,771,302.66/1,459.12
  6. Step 6: Final answer
    x = 1,213.95

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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.