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Finding the Fourth Proportional to 666.51, 920.10 and 516.79

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Solution

The fourth proportional to 666.51, 920.10 and 516.79 is: 713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.51 : 920.10 = 516.79 : x
  2. Step 2: Convert to fraction form
    666.51/920.10 = 516.79/x
  3. Step 3: Cross multiply
    666.51x = 920.10 × 516.79
  4. Step 4: Simplify right side
    666.51x = 475,498.48
  5. Step 5: Solve for x
    x = 475,498.48/666.51
  6. Step 6: Final answer
    x = 713.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.