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Finding the Fourth Proportional to 666.43, 999.55 and 341.80

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Solution

The fourth proportional to 666.43, 999.55 and 341.80 is: 512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.43 : 999.55 = 341.80 : x
  2. Step 2: Convert to fraction form
    666.43/999.55 = 341.80/x
  3. Step 3: Cross multiply
    666.43x = 999.55 × 341.80
  4. Step 4: Simplify right side
    666.43x = 341,646.19
  5. Step 5: Solve for x
    x = 341,646.19/666.43
  6. Step 6: Final answer
    x = 512.65

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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.