Home / 1,380.24-2,070.16-406.42

Finding the Fourth Proportional to 1,380.24, 2,070.16 and 406.42

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Solution

The fourth proportional to 1,380.24, 2,070.16 and 406.42 is: 609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.24 : 2,070.16 = 406.42 : x
  2. Step 2: Convert to fraction form
    1,380.24/2,070.16 = 406.42/x
  3. Step 3: Cross multiply
    1,380.24x = 2,070.16 × 406.42
  4. Step 4: Simplify right side
    1,380.24x = 841,348.24
  5. Step 5: Solve for x
    x = 841,348.24/1,380.24
  6. Step 6: Final answer
    x = 609.57

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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.