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Finding the Fourth Proportional to 665.66, 999.10 and 511.09

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Solution

The fourth proportional to 665.66, 999.10 and 511.09 is: 767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.66 : 999.10 = 511.09 : x
  2. Step 2: Convert to fraction form
    665.66/999.10 = 511.09/x
  3. Step 3: Cross multiply
    665.66x = 999.10 × 511.09
  4. Step 4: Simplify right side
    665.66x = 510,630.02
  5. Step 5: Solve for x
    x = 510,630.02/665.66
  6. Step 6: Final answer
    x = 767.10

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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.