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Finding the Fourth Proportional to 557.79, 836.23 and 326.11

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Solution

The fourth proportional to 557.79, 836.23 and 326.11 is: 488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.79 : 836.23 = 326.11 : x
  2. Step 2: Convert to fraction form
    557.79/836.23 = 326.11/x
  3. Step 3: Cross multiply
    557.79x = 836.23 × 326.11
  4. Step 4: Simplify right side
    557.79x = 272,702.97
  5. Step 5: Solve for x
    x = 272,702.97/557.79
  6. Step 6: Final answer
    x = 488.90

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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.