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Finding the Fourth Proportional to 919.97, 1,380.15 and 432.75

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Solution

The fourth proportional to 919.97, 1,380.15 and 432.75 is: 649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.97 : 1,380.15 = 432.75 : x
  2. Step 2: Convert to fraction form
    919.97/1,380.15 = 432.75/x
  3. Step 3: Cross multiply
    919.97x = 1,380.15 × 432.75
  4. Step 4: Simplify right side
    919.97x = 597,259.91
  5. Step 5: Solve for x
    x = 597,259.91/919.97
  6. Step 6: Final answer
    x = 649.22

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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.