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Finding the Fourth Proportional to 927.67, 1,392.33 and 603.40

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Solution

The fourth proportional to 927.67, 1,392.33 and 603.40 is: 905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.67 : 1,392.33 = 603.40 : x
  2. Step 2: Convert to fraction form
    927.67/1,392.33 = 603.40/x
  3. Step 3: Cross multiply
    927.67x = 1,392.33 × 603.40
  4. Step 4: Simplify right side
    927.67x = 840,131.92
  5. Step 5: Solve for x
    x = 840,131.92/927.67
  6. Step 6: Final answer
    x = 905.64

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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.