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Finding the Fourth Proportional to 606.88, 911.36 and 537.63

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Solution

The fourth proportional to 606.88, 911.36 and 537.63 is: 807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.88 : 911.36 = 537.63 : x
  2. Step 2: Convert to fraction form
    606.88/911.36 = 537.63/x
  3. Step 3: Cross multiply
    606.88x = 911.36 × 537.63
  4. Step 4: Simplify right side
    606.88x = 489,974.48
  5. Step 5: Solve for x
    x = 489,974.48/606.88
  6. Step 6: Final answer
    x = 807.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.