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Finding the Fourth Proportional to 919.46, 1,372.04 and 811.46

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Solution

The fourth proportional to 919.46, 1,372.04 and 811.46 is: 1,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.46 : 1,372.04 = 811.46 : x
  2. Step 2: Convert to fraction form
    919.46/1,372.04 = 811.46/x
  3. Step 3: Cross multiply
    919.46x = 1,372.04 × 811.46
  4. Step 4: Simplify right side
    919.46x = 1,113,355.58
  5. Step 5: Solve for x
    x = 1,113,355.58/919.46
  6. Step 6: Final answer
    x = 1,210.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.