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Finding the Fourth Proportional to 842.46, 1,162.58 and 488.35

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Solution

The fourth proportional to 842.46, 1,162.58 and 488.35 is: 673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.46 : 1,162.58 = 488.35 : x
  2. Step 2: Convert to fraction form
    842.46/1,162.58 = 488.35/x
  3. Step 3: Cross multiply
    842.46x = 1,162.58 × 488.35
  4. Step 4: Simplify right side
    842.46x = 567,745.94
  5. Step 5: Solve for x
    x = 567,745.94/842.46
  6. Step 6: Final answer
    x = 673.91

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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.