Home / 1,464.40-2,200.34-1,380.40

Finding the Fourth Proportional to 1,464.40, 2,200.34 and 1,380.40

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Solution

The fourth proportional to 1,464.40, 2,200.34 and 1,380.40 is: 2,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.40 : 2,200.34 = 1,380.40 : x
  2. Step 2: Convert to fraction form
    1,464.40/2,200.34 = 1,380.40/x
  3. Step 3: Cross multiply
    1,464.40x = 2,200.34 × 1,380.40
  4. Step 4: Simplify right side
    1,464.40x = 3,037,349.34
  5. Step 5: Solve for x
    x = 3,037,349.34/1,464.40
  6. Step 6: Final answer
    x = 2,074.13

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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.