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Finding the Fourth Proportional to 548.90, 820.17 and 462.50

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Solution

The fourth proportional to 548.90, 820.17 and 462.50 is: 691.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.90 : 820.17 = 462.50 : x
  2. Step 2: Convert to fraction form
    548.90/820.17 = 462.50/x
  3. Step 3: Cross multiply
    548.90x = 820.17 × 462.50
  4. Step 4: Simplify right side
    548.90x = 379,328.63
  5. Step 5: Solve for x
    x = 379,328.63/548.90
  6. Step 6: Final answer
    x = 691.07

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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.