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Finding the Fourth Proportional to 605.22, 902.62 and 546.90

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Solution

The fourth proportional to 605.22, 902.62 and 546.90 is: 815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.22 : 902.62 = 546.90 : x
  2. Step 2: Convert to fraction form
    605.22/902.62 = 546.90/x
  3. Step 3: Cross multiply
    605.22x = 902.62 × 546.90
  4. Step 4: Simplify right side
    605.22x = 493,642.88
  5. Step 5: Solve for x
    x = 493,642.88/605.22
  6. Step 6: Final answer
    x = 815.64

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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.