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Finding the Fourth Proportional to 649.38, 973.73 and 575.44

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Solution

The fourth proportional to 649.38, 973.73 and 575.44 is: 862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.38 : 973.73 = 575.44 : x
  2. Step 2: Convert to fraction form
    649.38/973.73 = 575.44/x
  3. Step 3: Cross multiply
    649.38x = 973.73 × 575.44
  4. Step 4: Simplify right side
    649.38x = 560,320.31
  5. Step 5: Solve for x
    x = 560,320.31/649.38
  6. Step 6: Final answer
    x = 862.86

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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.