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Finding the Fourth Proportional to 927.24, 1,381.95 and 919.62

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Solution

The fourth proportional to 927.24, 1,381.95 and 919.62 is: 1,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.24 : 1,381.95 = 919.62 : x
  2. Step 2: Convert to fraction form
    927.24/1,381.95 = 919.62/x
  3. Step 3: Cross multiply
    927.24x = 1,381.95 × 919.62
  4. Step 4: Simplify right side
    927.24x = 1,270,868.86
  5. Step 5: Solve for x
    x = 1,270,868.86/927.24
  6. Step 6: Final answer
    x = 1,370.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.