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Finding the Fourth Proportional to 634.30, 949.47 and 580.47

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Solution

The fourth proportional to 634.30, 949.47 and 580.47 is: 868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.30 : 949.47 = 580.47 : x
  2. Step 2: Convert to fraction form
    634.30/949.47 = 580.47/x
  3. Step 3: Cross multiply
    634.30x = 949.47 × 580.47
  4. Step 4: Simplify right side
    634.30x = 551,136.38
  5. Step 5: Solve for x
    x = 551,136.38/634.30
  6. Step 6: Final answer
    x = 868.89

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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.