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Finding the Fourth Proportional to 666.23, 920.06 and 517.39

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Solution

The fourth proportional to 666.23, 920.06 and 517.39 is: 714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.23 : 920.06 = 517.39 : x
  2. Step 2: Convert to fraction form
    666.23/920.06 = 517.39/x
  3. Step 3: Cross multiply
    666.23x = 920.06 × 517.39
  4. Step 4: Simplify right side
    666.23x = 476,026.90
  5. Step 5: Solve for x
    x = 476,026.90/666.23
  6. Step 6: Final answer
    x = 714.51

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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.