Home / 1,508.20-2,261.90-412.64

Finding the Fourth Proportional to 1,508.20, 2,261.90 and 412.64

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Solution

The fourth proportional to 1,508.20, 2,261.90 and 412.64 is: 618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.20 : 2,261.90 = 412.64 : x
  2. Step 2: Convert to fraction form
    1,508.20/2,261.90 = 412.64/x
  3. Step 3: Cross multiply
    1,508.20x = 2,261.90 × 412.64
  4. Step 4: Simplify right side
    1,508.20x = 933,350.42
  5. Step 5: Solve for x
    x = 933,350.42/1,508.20
  6. Step 6: Final answer
    x = 618.85

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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.