Home / 1,502.20-2,253.30-406.54

Finding the Fourth Proportional to 1,502.20, 2,253.30 and 406.54

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Solution

The fourth proportional to 1,502.20, 2,253.30 and 406.54 is: 609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.20 : 2,253.30 = 406.54 : x
  2. Step 2: Convert to fraction form
    1,502.20/2,253.30 = 406.54/x
  3. Step 3: Cross multiply
    1,502.20x = 2,253.30 × 406.54
  4. Step 4: Simplify right side
    1,502.20x = 916,056.58
  5. Step 5: Solve for x
    x = 916,056.58/1,502.20
  6. Step 6: Final answer
    x = 609.81

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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.