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Finding the Fourth Proportional to 649.69, 972.56 and 443.53

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Solution

The fourth proportional to 649.69, 972.56 and 443.53 is: 663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.69 : 972.56 = 443.53 : x
  2. Step 2: Convert to fraction form
    649.69/972.56 = 443.53/x
  3. Step 3: Cross multiply
    649.69x = 972.56 × 443.53
  4. Step 4: Simplify right side
    649.69x = 431,357.32
  5. Step 5: Solve for x
    x = 431,357.32/649.69
  6. Step 6: Final answer
    x = 663.94

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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.