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Finding the Fourth Proportional to 660.35, 911.45 and 463.93

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Solution

The fourth proportional to 660.35, 911.45 and 463.93 is: 640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.35 : 911.45 = 463.93 : x
  2. Step 2: Convert to fraction form
    660.35/911.45 = 463.93/x
  3. Step 3: Cross multiply
    660.35x = 911.45 × 463.93
  4. Step 4: Simplify right side
    660.35x = 422,847.88
  5. Step 5: Solve for x
    x = 422,847.88/660.35
  6. Step 6: Final answer
    x = 640.34

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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.