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Finding the Fourth Proportional to 649.87, 975.06 and 455.27

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Solution

The fourth proportional to 649.87, 975.06 and 455.27 is: 683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.87 : 975.06 = 455.27 : x
  2. Step 2: Convert to fraction form
    649.87/975.06 = 455.27/x
  3. Step 3: Cross multiply
    649.87x = 975.06 × 455.27
  4. Step 4: Simplify right side
    649.87x = 443,910.69
  5. Step 5: Solve for x
    x = 443,910.69/649.87
  6. Step 6: Final answer
    x = 683.08

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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.