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Finding the Fourth Proportional to 548.02, 817.67 and 509.30

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Solution

The fourth proportional to 548.02, 817.67 and 509.30 is: 759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.02 : 817.67 = 509.30 : x
  2. Step 2: Convert to fraction form
    548.02/817.67 = 509.30/x
  3. Step 3: Cross multiply
    548.02x = 817.67 × 509.30
  4. Step 4: Simplify right side
    548.02x = 416,439.33
  5. Step 5: Solve for x
    x = 416,439.33/548.02
  6. Step 6: Final answer
    x = 759.90

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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.