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Finding the Fourth Proportional to 1,364.19, 2,046.52 and 439.68

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Solution

The fourth proportional to 1,364.19, 2,046.52 and 439.68 is: 659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.19 : 2,046.52 = 439.68 : x
  2. Step 2: Convert to fraction form
    1,364.19/2,046.52 = 439.68/x
  3. Step 3: Cross multiply
    1,364.19x = 2,046.52 × 439.68
  4. Step 4: Simplify right side
    1,364.19x = 899,808.15
  5. Step 5: Solve for x
    x = 899,808.15/1,364.19
  6. Step 6: Final answer
    x = 659.59

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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.