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Finding the Fourth Proportional to 661.87, 994.02 and 579.86

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Solution

The fourth proportional to 661.87, 994.02 and 579.86 is: 870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.87 : 994.02 = 579.86 : x
  2. Step 2: Convert to fraction form
    661.87/994.02 = 579.86/x
  3. Step 3: Cross multiply
    661.87x = 994.02 × 579.86
  4. Step 4: Simplify right side
    661.87x = 576,392.28
  5. Step 5: Solve for x
    x = 576,392.28/661.87
  6. Step 6: Final answer
    x = 870.85

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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.