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Finding the Fourth Proportional to 668.24, 994.82 and 659.12

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Solution

The fourth proportional to 668.24, 994.82 and 659.12 is: 981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.24 : 994.82 = 659.12 : x
  2. Step 2: Convert to fraction form
    668.24/994.82 = 659.12/x
  3. Step 3: Cross multiply
    668.24x = 994.82 × 659.12
  4. Step 4: Simplify right side
    668.24x = 655,705.76
  5. Step 5: Solve for x
    x = 655,705.76/668.24
  6. Step 6: Final answer
    x = 981.24

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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.