Home / 1,380.17-2,070.26-406.35

Finding the Fourth Proportional to 1,380.17, 2,070.26 and 406.35

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Solution

The fourth proportional to 1,380.17, 2,070.26 and 406.35 is: 609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.17 : 2,070.26 = 406.35 : x
  2. Step 2: Convert to fraction form
    1,380.17/2,070.26 = 406.35/x
  3. Step 3: Cross multiply
    1,380.17x = 2,070.26 × 406.35
  4. Step 4: Simplify right side
    1,380.17x = 841,250.15
  5. Step 5: Solve for x
    x = 841,250.15/1,380.17
  6. Step 6: Final answer
    x = 609.53

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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.