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Finding the Fourth Proportional to 665.77, 999.12 and 232.93

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Solution

The fourth proportional to 665.77, 999.12 and 232.93 is: 349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.77 : 999.12 = 232.93 : x
  2. Step 2: Convert to fraction form
    665.77/999.12 = 232.93/x
  3. Step 3: Cross multiply
    665.77x = 999.12 × 232.93
  4. Step 4: Simplify right side
    665.77x = 232,725.02
  5. Step 5: Solve for x
    x = 232,725.02/665.77
  6. Step 6: Final answer
    x = 349.56

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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.