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Finding the Fourth Proportional to 554.18, 827.69 and 493.43

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Solution

The fourth proportional to 554.18, 827.69 and 493.43 is: 736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.18 : 827.69 = 493.43 : x
  2. Step 2: Convert to fraction form
    554.18/827.69 = 493.43/x
  3. Step 3: Cross multiply
    554.18x = 827.69 × 493.43
  4. Step 4: Simplify right side
    554.18x = 408,400.47
  5. Step 5: Solve for x
    x = 408,400.47/554.18
  6. Step 6: Final answer
    x = 736.95

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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.