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Finding the Fourth Proportional to 666.06, 999.81 and 406.47

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Solution

The fourth proportional to 666.06, 999.81 and 406.47 is: 610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.06 : 999.81 = 406.47 : x
  2. Step 2: Convert to fraction form
    666.06/999.81 = 406.47/x
  3. Step 3: Cross multiply
    666.06x = 999.81 × 406.47
  4. Step 4: Simplify right side
    666.06x = 406,392.77
  5. Step 5: Solve for x
    x = 406,392.77/666.06
  6. Step 6: Final answer
    x = 610.14

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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.