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Finding the Fourth Proportional to 919.98, 1,380.42 and 487.17

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Solution

The fourth proportional to 919.98, 1,380.42 and 487.17 is: 730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.98 : 1,380.42 = 487.17 : x
  2. Step 2: Convert to fraction form
    919.98/1,380.42 = 487.17/x
  3. Step 3: Cross multiply
    919.98x = 1,380.42 × 487.17
  4. Step 4: Simplify right side
    919.98x = 672,499.21
  5. Step 5: Solve for x
    x = 672,499.21/919.98
  6. Step 6: Final answer
    x = 730.99

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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.