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Finding the Fourth Proportional to 665.82, 919.96 and 478.94

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Solution

The fourth proportional to 665.82, 919.96 and 478.94 is: 661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.82 : 919.96 = 478.94 : x
  2. Step 2: Convert to fraction form
    665.82/919.96 = 478.94/x
  3. Step 3: Cross multiply
    665.82x = 919.96 × 478.94
  4. Step 4: Simplify right side
    665.82x = 440,605.64
  5. Step 5: Solve for x
    x = 440,605.64/665.82
  6. Step 6: Final answer
    x = 661.75

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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.