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Finding the Fourth Proportional to 548.38, 818.72 and 497.38

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Solution

The fourth proportional to 548.38, 818.72 and 497.38 is: 742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.38 : 818.72 = 497.38 : x
  2. Step 2: Convert to fraction form
    548.38/818.72 = 497.38/x
  3. Step 3: Cross multiply
    548.38x = 818.72 × 497.38
  4. Step 4: Simplify right side
    548.38x = 407,214.95
  5. Step 5: Solve for x
    x = 407,214.95/548.38
  6. Step 6: Final answer
    x = 742.58

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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.