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Finding the Fourth Proportional to 548.64, 818.82 and 508.50

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Solution

The fourth proportional to 548.64, 818.82 and 508.50 is: 758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.64 : 818.82 = 508.50 : x
  2. Step 2: Convert to fraction form
    548.64/818.82 = 508.50/x
  3. Step 3: Cross multiply
    548.64x = 818.82 × 508.50
  4. Step 4: Simplify right side
    548.64x = 416,369.97
  5. Step 5: Solve for x
    x = 416,369.97/548.64
  6. Step 6: Final answer
    x = 758.91

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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.