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Finding the Fourth Proportional to 927.72, 1,390.90 and 440.20

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Solution

The fourth proportional to 927.72, 1,390.90 and 440.20 is: 659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.72 : 1,390.90 = 440.20 : x
  2. Step 2: Convert to fraction form
    927.72/1,390.90 = 440.20/x
  3. Step 3: Cross multiply
    927.72x = 1,390.90 × 440.20
  4. Step 4: Simplify right side
    927.72x = 612,274.18
  5. Step 5: Solve for x
    x = 612,274.18/927.72
  6. Step 6: Final answer
    x = 659.98

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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.