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Finding the Fourth Proportional to 1,102.12, 1,520.82 and 604.72

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Solution

The fourth proportional to 1,102.12, 1,520.82 and 604.72 is: 834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.12 : 1,520.82 = 604.72 : x
  2. Step 2: Convert to fraction form
    1,102.12/1,520.82 = 604.72/x
  3. Step 3: Cross multiply
    1,102.12x = 1,520.82 × 604.72
  4. Step 4: Simplify right side
    1,102.12x = 919,670.27
  5. Step 5: Solve for x
    x = 919,670.27/1,102.12
  6. Step 6: Final answer
    x = 834.46

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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.