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Finding the Fourth Proportional to 665.96, 994.14 and 574.70

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Solution

The fourth proportional to 665.96, 994.14 and 574.70 is: 857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.96 : 994.14 = 574.70 : x
  2. Step 2: Convert to fraction form
    665.96/994.14 = 574.70/x
  3. Step 3: Cross multiply
    665.96x = 994.14 × 574.70
  4. Step 4: Simplify right side
    665.96x = 571,327.29
  5. Step 5: Solve for x
    x = 571,327.29/665.96
  6. Step 6: Final answer
    x = 857.91

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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.