Home / 1,464.31-2,196.77-490.42

Finding the Fourth Proportional to 1,464.31, 2,196.77 and 490.42

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Solution

The fourth proportional to 1,464.31, 2,196.77 and 490.42 is: 735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.31 : 2,196.77 = 490.42 : x
  2. Step 2: Convert to fraction form
    1,464.31/2,196.77 = 490.42/x
  3. Step 3: Cross multiply
    1,464.31x = 2,196.77 × 490.42
  4. Step 4: Simplify right side
    1,464.31x = 1,077,337.49
  5. Step 5: Solve for x
    x = 1,077,337.49/1,464.31
  6. Step 6: Final answer
    x = 735.73

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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.