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Finding the Fourth Proportional to 1,113.35, 1,671.17 and 821.17

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Solution

The fourth proportional to 1,113.35, 1,671.17 and 821.17 is: 1,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.35 : 1,671.17 = 821.17 : x
  2. Step 2: Convert to fraction form
    1,113.35/1,671.17 = 821.17/x
  3. Step 3: Cross multiply
    1,113.35x = 1,671.17 × 821.17
  4. Step 4: Simplify right side
    1,113.35x = 1,372,318.85
  5. Step 5: Solve for x
    x = 1,372,318.85/1,113.35
  6. Step 6: Final answer
    x = 1,232.61

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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.