Home / 1,464.25-2,196.13-490.34

Finding the Fourth Proportional to 1,464.25, 2,196.13 and 490.34

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Solution

The fourth proportional to 1,464.25, 2,196.13 and 490.34 is: 735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.25 : 2,196.13 = 490.34 : x
  2. Step 2: Convert to fraction form
    1,464.25/2,196.13 = 490.34/x
  3. Step 3: Cross multiply
    1,464.25x = 2,196.13 × 490.34
  4. Step 4: Simplify right side
    1,464.25x = 1,076,854.65
  5. Step 5: Solve for x
    x = 1,076,854.65/1,464.25
  6. Step 6: Final answer
    x = 735.43

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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.