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Finding the Fourth Proportional to 666.88, 919.74 and 470.44

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Solution

The fourth proportional to 666.88, 919.74 and 470.44 is: 648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.88 : 919.74 = 470.44 : x
  2. Step 2: Convert to fraction form
    666.88/919.74 = 470.44/x
  3. Step 3: Cross multiply
    666.88x = 919.74 × 470.44
  4. Step 4: Simplify right side
    666.88x = 432,682.49
  5. Step 5: Solve for x
    x = 432,682.49/666.88
  6. Step 6: Final answer
    x = 648.82

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