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Finding the Fourth Proportional to 1,072.82, 1,480.34 and 624.57

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Solution

The fourth proportional to 1,072.82, 1,480.34 and 624.57 is: 861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.82 : 1,480.34 = 624.57 : x
  2. Step 2: Convert to fraction form
    1,072.82/1,480.34 = 624.57/x
  3. Step 3: Cross multiply
    1,072.82x = 1,480.34 × 624.57
  4. Step 4: Simplify right side
    1,072.82x = 924,571.96
  5. Step 5: Solve for x
    x = 924,571.96/1,072.82
  6. Step 6: Final answer
    x = 861.81

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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.