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Finding the Fourth Proportional to 666.91, 919.85 and 578.23

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Solution

The fourth proportional to 666.91, 919.85 and 578.23 is: 797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.91 : 919.85 = 578.23 : x
  2. Step 2: Convert to fraction form
    666.91/919.85 = 578.23/x
  3. Step 3: Cross multiply
    666.91x = 919.85 × 578.23
  4. Step 4: Simplify right side
    666.91x = 531,880.27
  5. Step 5: Solve for x
    x = 531,880.27/666.91
  6. Step 6: Final answer
    x = 797.54

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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.