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Finding the Fourth Proportional to 605.89, 902.82 and 576.50

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Solution

The fourth proportional to 605.89, 902.82 and 576.50 is: 859.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.89 : 902.82 = 576.50 : x
  2. Step 2: Convert to fraction form
    605.89/902.82 = 576.50/x
  3. Step 3: Cross multiply
    605.89x = 902.82 × 576.50
  4. Step 4: Simplify right side
    605.89x = 520,477.99
  5. Step 5: Solve for x
    x = 520,477.99/605.89
  6. Step 6: Final answer
    x = 859.03

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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.