Home / 1,364.14-2,046.09-439.45

Finding the Fourth Proportional to 1,364.14, 2,046.09 and 439.45

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Solution

The fourth proportional to 1,364.14, 2,046.09 and 439.45 is: 659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.14 : 2,046.09 = 439.45 : x
  2. Step 2: Convert to fraction form
    1,364.14/2,046.09 = 439.45/x
  3. Step 3: Cross multiply
    1,364.14x = 2,046.09 × 439.45
  4. Step 4: Simplify right side
    1,364.14x = 899,154.25
  5. Step 5: Solve for x
    x = 899,154.25/1,364.14
  6. Step 6: Final answer
    x = 659.14

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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.