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Finding the Fourth Proportional to 649.97, 975.10 and 303.54

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Solution

The fourth proportional to 649.97, 975.10 and 303.54 is: 455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.97 : 975.10 = 303.54 : x
  2. Step 2: Convert to fraction form
    649.97/975.10 = 303.54/x
  3. Step 3: Cross multiply
    649.97x = 975.10 × 303.54
  4. Step 4: Simplify right side
    649.97x = 295,981.10
  5. Step 5: Solve for x
    x = 295,981.10/649.97
  6. Step 6: Final answer
    x = 455.38

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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.