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Finding the Fourth Proportional to 610.60, 923.11 and 610.60

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Solution

The fourth proportional to 610.60, 923.11 and 610.60 is: 923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.60 : 923.11 = 610.60 : x
  2. Step 2: Convert to fraction form
    610.60/923.11 = 610.60/x
  3. Step 3: Cross multiply
    610.60x = 923.11 × 610.60
  4. Step 4: Simplify right side
    610.60x = 563,650.97
  5. Step 5: Solve for x
    x = 563,650.97/610.60
  6. Step 6: Final answer
    x = 923.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.