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Finding the Fourth Proportional to 666.71, 919.81 and 404.63

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Solution

The fourth proportional to 666.71, 919.81 and 404.63 is: 558.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.71 : 919.81 = 404.63 : x
  2. Step 2: Convert to fraction form
    666.71/919.81 = 404.63/x
  3. Step 3: Cross multiply
    666.71x = 919.81 × 404.63
  4. Step 4: Simplify right side
    666.71x = 372,182.72
  5. Step 5: Solve for x
    x = 372,182.72/666.71
  6. Step 6: Final answer
    x = 558.24

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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.