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Finding the Fourth Proportional to 919.60, 1,378.17 and 821.98

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Solution

The fourth proportional to 919.60, 1,378.17 and 821.98 is: 1,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.60 : 1,378.17 = 821.98 : x
  2. Step 2: Convert to fraction form
    919.60/1,378.17 = 821.98/x
  3. Step 3: Cross multiply
    919.60x = 1,378.17 × 821.98
  4. Step 4: Simplify right side
    919.60x = 1,132,828.18
  5. Step 5: Solve for x
    x = 1,132,828.18/919.60
  6. Step 6: Final answer
    x = 1,231.87

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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.