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Finding the Fourth Proportional to 649.17, 972.90 and 324.09

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Solution

The fourth proportional to 649.17, 972.90 and 324.09 is: 485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.17 : 972.90 = 324.09 : x
  2. Step 2: Convert to fraction form
    649.17/972.90 = 324.09/x
  3. Step 3: Cross multiply
    649.17x = 972.90 × 324.09
  4. Step 4: Simplify right side
    649.17x = 315,307.16
  5. Step 5: Solve for x
    x = 315,307.16/649.17
  6. Step 6: Final answer
    x = 485.71

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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.