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Finding the Fourth Proportional to 649.54, 973.83 and 259.42

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Solution

The fourth proportional to 649.54, 973.83 and 259.42 is: 388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.54 : 973.83 = 259.42 : x
  2. Step 2: Convert to fraction form
    649.54/973.83 = 259.42/x
  3. Step 3: Cross multiply
    649.54x = 973.83 × 259.42
  4. Step 4: Simplify right side
    649.54x = 252,631.63
  5. Step 5: Solve for x
    x = 252,631.63/649.54
  6. Step 6: Final answer
    x = 388.94

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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.