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Finding the Fourth Proportional to 666.77, 998.52 and 512.06

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Solution

The fourth proportional to 666.77, 998.52 and 512.06 is: 766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.77 : 998.52 = 512.06 : x
  2. Step 2: Convert to fraction form
    666.77/998.52 = 512.06/x
  3. Step 3: Cross multiply
    666.77x = 998.52 × 512.06
  4. Step 4: Simplify right side
    666.77x = 511,302.15
  5. Step 5: Solve for x
    x = 511,302.15/666.77
  6. Step 6: Final answer
    x = 766.83

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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.