Home / 1,409.21-2,113.35-484.75

Finding the Fourth Proportional to 1,409.21, 2,113.35 and 484.75

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Solution

The fourth proportional to 1,409.21, 2,113.35 and 484.75 is: 726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.21 : 2,113.35 = 484.75 : x
  2. Step 2: Convert to fraction form
    1,409.21/2,113.35 = 484.75/x
  3. Step 3: Cross multiply
    1,409.21x = 2,113.35 × 484.75
  4. Step 4: Simplify right side
    1,409.21x = 1,024,435.85
  5. Step 5: Solve for x
    x = 1,024,435.85/1,409.21
  6. Step 6: Final answer
    x = 726.96

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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.