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Finding the Fourth Proportional to 649.32, 973.12 and 388.48

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Solution

The fourth proportional to 649.32, 973.12 and 388.48 is: 582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.32 : 973.12 = 388.48 : x
  2. Step 2: Convert to fraction form
    649.32/973.12 = 388.48/x
  3. Step 3: Cross multiply
    649.32x = 973.12 × 388.48
  4. Step 4: Simplify right side
    649.32x = 378,037.66
  5. Step 5: Solve for x
    x = 378,037.66/649.32
  6. Step 6: Final answer
    x = 582.21

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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.