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Finding the Fourth Proportional to 666.83, 919.85 and 445.47

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Solution

The fourth proportional to 666.83, 919.85 and 445.47 is: 614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.83 : 919.85 = 445.47 : x
  2. Step 2: Convert to fraction form
    666.83/919.85 = 445.47/x
  3. Step 3: Cross multiply
    666.83x = 919.85 × 445.47
  4. Step 4: Simplify right side
    666.83x = 409,763.35
  5. Step 5: Solve for x
    x = 409,763.35/666.83
  6. Step 6: Final answer
    x = 614.50

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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.