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Finding the Fourth Proportional to 662.76, 994.20 and 586.43

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Solution

The fourth proportional to 662.76, 994.20 and 586.43 is: 879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.76 : 994.20 = 586.43 : x
  2. Step 2: Convert to fraction form
    662.76/994.20 = 586.43/x
  3. Step 3: Cross multiply
    662.76x = 994.20 × 586.43
  4. Step 4: Simplify right side
    662.76x = 583,023.74
  5. Step 5: Solve for x
    x = 583,023.74/662.76
  6. Step 6: Final answer
    x = 879.69

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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.