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Finding the Fourth Proportional to 650.20, 979.65 and 588.58

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Solution

The fourth proportional to 650.20, 979.65 and 588.58 is: 886.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.20 : 979.65 = 588.58 : x
  2. Step 2: Convert to fraction form
    650.20/979.65 = 588.58/x
  3. Step 3: Cross multiply
    650.20x = 979.65 × 588.58
  4. Step 4: Simplify right side
    650.20x = 576,602.40
  5. Step 5: Solve for x
    x = 576,602.40/650.20
  6. Step 6: Final answer
    x = 886.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.