Home / 1,364.23-2,046.14-439.66

Finding the Fourth Proportional to 1,364.23, 2,046.14 and 439.66

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Solution

The fourth proportional to 1,364.23, 2,046.14 and 439.66 is: 659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.23 : 2,046.14 = 439.66 : x
  2. Step 2: Convert to fraction form
    1,364.23/2,046.14 = 439.66/x
  3. Step 3: Cross multiply
    1,364.23x = 2,046.14 × 439.66
  4. Step 4: Simplify right side
    1,364.23x = 899,605.91
  5. Step 5: Solve for x
    x = 899,605.91/1,364.23
  6. Step 6: Final answer
    x = 659.42

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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.