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Finding the Fourth Proportional to 949.93, 1,425.62 and 659.46

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Solution

The fourth proportional to 949.93, 1,425.62 and 659.46 is: 989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.93 : 1,425.62 = 659.46 : x
  2. Step 2: Convert to fraction form
    949.93/1,425.62 = 659.46/x
  3. Step 3: Cross multiply
    949.93x = 1,425.62 × 659.46
  4. Step 4: Simplify right side
    949.93x = 940,146.36
  5. Step 5: Solve for x
    x = 940,146.36/949.93
  6. Step 6: Final answer
    x = 989.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.