Home / 1,427.20-2,140.98-440.08

Finding the Fourth Proportional to 1,427.20, 2,140.98 and 440.08

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Solution

The fourth proportional to 1,427.20, 2,140.98 and 440.08 is: 660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.20 : 2,140.98 = 440.08 : x
  2. Step 2: Convert to fraction form
    1,427.20/2,140.98 = 440.08/x
  3. Step 3: Cross multiply
    1,427.20x = 2,140.98 × 440.08
  4. Step 4: Simplify right side
    1,427.20x = 942,197.13
  5. Step 5: Solve for x
    x = 942,197.13/1,427.20
  6. Step 6: Final answer
    x = 660.17

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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.