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Finding the Fourth Proportional to 687.23, 948.41 and 392.55

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Solution

The fourth proportional to 687.23, 948.41 and 392.55 is: 541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.23 : 948.41 = 392.55 : x
  2. Step 2: Convert to fraction form
    687.23/948.41 = 392.55/x
  3. Step 3: Cross multiply
    687.23x = 948.41 × 392.55
  4. Step 4: Simplify right side
    687.23x = 372,294.30
  5. Step 5: Solve for x
    x = 372,294.30/687.23
  6. Step 6: Final answer
    x = 541.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.