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Finding the Fourth Proportional to 649.20, 973.60 and 259.09

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Solution

The fourth proportional to 649.20, 973.60 and 259.09 is: 388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.20 : 973.60 = 259.09 : x
  2. Step 2: Convert to fraction form
    649.20/973.60 = 259.09/x
  3. Step 3: Cross multiply
    649.20x = 973.60 × 259.09
  4. Step 4: Simplify right side
    649.20x = 252,250.02
  5. Step 5: Solve for x
    x = 252,250.02/649.20
  6. Step 6: Final answer
    x = 388.56

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1.5x scale

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.