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Finding the Fourth Proportional to 461.92, 687.44 and 444.64

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Solution

The fourth proportional to 461.92, 687.44 and 444.64 is: 661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.92 : 687.44 = 444.64 : x
  2. Step 2: Convert to fraction form
    461.92/687.44 = 444.64/x
  3. Step 3: Cross multiply
    461.92x = 687.44 × 444.64
  4. Step 4: Simplify right side
    461.92x = 305,663.32
  5. Step 5: Solve for x
    x = 305,663.32/461.92
  6. Step 6: Final answer
    x = 661.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.