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Finding the Fourth Proportional to 666.26, 994.35 and 648.98

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Solution

The fourth proportional to 666.26, 994.35 and 648.98 is: 968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.26 : 994.35 = 648.98 : x
  2. Step 2: Convert to fraction form
    666.26/994.35 = 648.98/x
  3. Step 3: Cross multiply
    666.26x = 994.35 × 648.98
  4. Step 4: Simplify right side
    666.26x = 645,313.26
  5. Step 5: Solve for x
    x = 645,313.26/666.26
  6. Step 6: Final answer
    x = 968.56

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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.