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Finding the Fourth Proportional to 649.45, 972.33 and 484.60

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Solution

The fourth proportional to 649.45, 972.33 and 484.60 is: 725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.45 : 972.33 = 484.60 : x
  2. Step 2: Convert to fraction form
    649.45/972.33 = 484.60/x
  3. Step 3: Cross multiply
    649.45x = 972.33 × 484.60
  4. Step 4: Simplify right side
    649.45x = 471,191.12
  5. Step 5: Solve for x
    x = 471,191.12/649.45
  6. Step 6: Final answer
    x = 725.52

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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.