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Finding the Fourth Proportional to 842.50, 1,162.53 and 488.41

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Solution

The fourth proportional to 842.50, 1,162.53 and 488.41 is: 673.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.50 : 1,162.53 = 488.41 : x
  2. Step 2: Convert to fraction form
    842.50/1,162.53 = 488.41/x
  3. Step 3: Cross multiply
    842.50x = 1,162.53 × 488.41
  4. Step 4: Simplify right side
    842.50x = 567,791.28
  5. Step 5: Solve for x
    x = 567,791.28/842.50
  6. Step 6: Final answer
    x = 673.94

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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.