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Finding the Fourth Proportional to 2,310.42, 3,464.82 and 666.48

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Solution

The fourth proportional to 2,310.42, 3,464.82 and 666.48 is: 999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.42 : 3,464.82 = 666.48 : x
  2. Step 2: Convert to fraction form
    2,310.42/3,464.82 = 666.48/x
  3. Step 3: Cross multiply
    2,310.42x = 3,464.82 × 666.48
  4. Step 4: Simplify right side
    2,310.42x = 2,309,233.23
  5. Step 5: Solve for x
    x = 2,309,233.23/2,310.42
  6. Step 6: Final answer
    x = 999.49

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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.