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Finding the Fourth Proportional to 927.25, 1,390.78 and 439.99

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Solution

The fourth proportional to 927.25, 1,390.78 and 439.99 is: 659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.25 : 1,390.78 = 439.99 : x
  2. Step 2: Convert to fraction form
    927.25/1,390.78 = 439.99/x
  3. Step 3: Cross multiply
    927.25x = 1,390.78 × 439.99
  4. Step 4: Simplify right side
    927.25x = 611,929.29
  5. Step 5: Solve for x
    x = 611,929.29/927.25
  6. Step 6: Final answer
    x = 659.94

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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.