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Finding the Fourth Proportional to 563.37, 842.09 and 489.66

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Solution

The fourth proportional to 563.37, 842.09 and 489.66 is: 731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.37 : 842.09 = 489.66 : x
  2. Step 2: Convert to fraction form
    563.37/842.09 = 489.66/x
  3. Step 3: Cross multiply
    563.37x = 842.09 × 489.66
  4. Step 4: Simplify right side
    563.37x = 412,335.34
  5. Step 5: Solve for x
    x = 412,335.34/563.37
  6. Step 6: Final answer
    x = 731.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.