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Finding the Fourth Proportional to 666.10, 998.70 and 341.74

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Solution

The fourth proportional to 666.10, 998.70 and 341.74 is: 512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.10 : 998.70 = 341.74 : x
  2. Step 2: Convert to fraction form
    666.10/998.70 = 341.74/x
  3. Step 3: Cross multiply
    666.10x = 998.70 × 341.74
  4. Step 4: Simplify right side
    666.10x = 341,295.74
  5. Step 5: Solve for x
    x = 341,295.74/666.10
  6. Step 6: Final answer
    x = 512.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.