Home / 1,409.28-2,113.82-484.80

Finding the Fourth Proportional to 1,409.28, 2,113.82 and 484.80

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Solution

The fourth proportional to 1,409.28, 2,113.82 and 484.80 is: 727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.28 : 2,113.82 = 484.80 : x
  2. Step 2: Convert to fraction form
    1,409.28/2,113.82 = 484.80/x
  3. Step 3: Cross multiply
    1,409.28x = 2,113.82 × 484.80
  4. Step 4: Simplify right side
    1,409.28x = 1,024,779.94
  5. Step 5: Solve for x
    x = 1,024,779.94/1,409.28
  6. Step 6: Final answer
    x = 727.17

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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.