Home / 1,464.18-2,195.82-490.06

Finding the Fourth Proportional to 1,464.18, 2,195.82 and 490.06

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Solution

The fourth proportional to 1,464.18, 2,195.82 and 490.06 is: 734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.18 : 2,195.82 = 490.06 : x
  2. Step 2: Convert to fraction form
    1,464.18/2,195.82 = 490.06/x
  3. Step 3: Cross multiply
    1,464.18x = 2,195.82 × 490.06
  4. Step 4: Simplify right side
    1,464.18x = 1,076,083.55
  5. Step 5: Solve for x
    x = 1,076,083.55/1,464.18
  6. Step 6: Final answer
    x = 734.94

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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.