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Finding the Fourth Proportional to 927.24, 1,392.42 and 621.06

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Solution

The fourth proportional to 927.24, 1,392.42 and 621.06 is: 932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.24 : 1,392.42 = 621.06 : x
  2. Step 2: Convert to fraction form
    927.24/1,392.42 = 621.06/x
  3. Step 3: Cross multiply
    927.24x = 1,392.42 × 621.06
  4. Step 4: Simplify right side
    927.24x = 864,776.37
  5. Step 5: Solve for x
    x = 864,776.37/927.24
  6. Step 6: Final answer
    x = 932.63

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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.