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Finding the Fourth Proportional to 605.90, 906.45 and 548.30

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Solution

The fourth proportional to 605.90, 906.45 and 548.30 is: 820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.90 : 906.45 = 548.30 : x
  2. Step 2: Convert to fraction form
    605.90/906.45 = 548.30/x
  3. Step 3: Cross multiply
    605.90x = 906.45 × 548.30
  4. Step 4: Simplify right side
    605.90x = 497,006.54
  5. Step 5: Solve for x
    x = 497,006.54/605.90
  6. Step 6: Final answer
    x = 820.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.