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Finding the Fourth Proportional to 659.42, 983.39 and 650.59

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Solution

The fourth proportional to 659.42, 983.39 and 650.59 is: 970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.42 : 983.39 = 650.59 : x
  2. Step 2: Convert to fraction form
    659.42/983.39 = 650.59/x
  3. Step 3: Cross multiply
    659.42x = 983.39 × 650.59
  4. Step 4: Simplify right side
    659.42x = 639,783.70
  5. Step 5: Solve for x
    x = 639,783.70/659.42
  6. Step 6: Final answer
    x = 970.23

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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.