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Finding the Fourth Proportional to 666.43, 919.71 and 386.77

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Solution

The fourth proportional to 666.43, 919.71 and 386.77 is: 533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.43 : 919.71 = 386.77 : x
  2. Step 2: Convert to fraction form
    666.43/919.71 = 386.77/x
  3. Step 3: Cross multiply
    666.43x = 919.71 × 386.77
  4. Step 4: Simplify right side
    666.43x = 355,716.24
  5. Step 5: Solve for x
    x = 355,716.24/666.43
  6. Step 6: Final answer
    x = 533.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.