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Finding the Fourth Proportional to 1,102.00, 1,520.72 and 604.61

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Solution

The fourth proportional to 1,102.00, 1,520.72 and 604.61 is: 834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.00 : 1,520.72 = 604.61 : x
  2. Step 2: Convert to fraction form
    1,102.00/1,520.72 = 604.61/x
  3. Step 3: Cross multiply
    1,102.00x = 1,520.72 × 604.61
  4. Step 4: Simplify right side
    1,102.00x = 919,439.50
  5. Step 5: Solve for x
    x = 919,439.50/1,102.00
  6. Step 6: Final answer
    x = 834.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.