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Finding the Fourth Proportional to 666.42, 999.81 and 378.06

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Solution

The fourth proportional to 666.42, 999.81 and 378.06 is: 567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.42 : 999.81 = 378.06 : x
  2. Step 2: Convert to fraction form
    666.42/999.81 = 378.06/x
  3. Step 3: Cross multiply
    666.42x = 999.81 × 378.06
  4. Step 4: Simplify right side
    666.42x = 377,988.17
  5. Step 5: Solve for x
    x = 377,988.17/666.42
  6. Step 6: Final answer
    x = 567.19

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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.