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Finding the Fourth Proportional to 668.20, 997.40 and 575.88

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Solution

The fourth proportional to 668.20, 997.40 and 575.88 is: 859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.20 : 997.40 = 575.88 : x
  2. Step 2: Convert to fraction form
    668.20/997.40 = 575.88/x
  3. Step 3: Cross multiply
    668.20x = 997.40 × 575.88
  4. Step 4: Simplify right side
    668.20x = 574,382.71
  5. Step 5: Solve for x
    x = 574,382.71/668.20
  6. Step 6: Final answer
    x = 859.60

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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.