Home / 1,349.25-2,023.19-412.02

Finding the Fourth Proportional to 1,349.25, 2,023.19 and 412.02

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Solution

The fourth proportional to 1,349.25, 2,023.19 and 412.02 is: 617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.25 : 2,023.19 = 412.02 : x
  2. Step 2: Convert to fraction form
    1,349.25/2,023.19 = 412.02/x
  3. Step 3: Cross multiply
    1,349.25x = 2,023.19 × 412.02
  4. Step 4: Simplify right side
    1,349.25x = 833,594.74
  5. Step 5: Solve for x
    x = 833,594.74/1,349.25
  6. Step 6: Final answer
    x = 617.82

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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.