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Finding the Fourth Proportional to 666.23, 999.14 and 511.85

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Solution

The fourth proportional to 666.23, 999.14 and 511.85 is: 767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.23 : 999.14 = 511.85 : x
  2. Step 2: Convert to fraction form
    666.23/999.14 = 511.85/x
  3. Step 3: Cross multiply
    666.23x = 999.14 × 511.85
  4. Step 4: Simplify right side
    666.23x = 511,409.75
  5. Step 5: Solve for x
    x = 511,409.75/666.23
  6. Step 6: Final answer
    x = 767.62

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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.