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Finding the Fourth Proportional to 666.63, 994.77 and 588.42

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Solution

The fourth proportional to 666.63, 994.77 and 588.42 is: 878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.63 : 994.77 = 588.42 : x
  2. Step 2: Convert to fraction form
    666.63/994.77 = 588.42/x
  3. Step 3: Cross multiply
    666.63x = 994.77 × 588.42
  4. Step 4: Simplify right side
    666.63x = 585,342.56
  5. Step 5: Solve for x
    x = 585,342.56/666.63
  6. Step 6: Final answer
    x = 878.06

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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.