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Finding the Fourth Proportional to 666.48, 995.22 and 527.97

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Solution

The fourth proportional to 666.48, 995.22 and 527.97 is: 788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.48 : 995.22 = 527.97 : x
  2. Step 2: Convert to fraction form
    666.48/995.22 = 527.97/x
  3. Step 3: Cross multiply
    666.48x = 995.22 × 527.97
  4. Step 4: Simplify right side
    666.48x = 525,446.30
  5. Step 5: Solve for x
    x = 525,446.30/666.48
  6. Step 6: Final answer
    x = 788.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.