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Finding the Fourth Proportional to 873.73, 1,205.21 and 624.62

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Solution

The fourth proportional to 873.73, 1,205.21 and 624.62 is: 861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.73 : 1,205.21 = 624.62 : x
  2. Step 2: Convert to fraction form
    873.73/1,205.21 = 624.62/x
  3. Step 3: Cross multiply
    873.73x = 1,205.21 × 624.62
  4. Step 4: Simplify right side
    873.73x = 752,798.27
  5. Step 5: Solve for x
    x = 752,798.27/873.73
  6. Step 6: Final answer
    x = 861.59

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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.