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Finding the Fourth Proportional to 467.44, 697.76 and 428.92

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Solution

The fourth proportional to 467.44, 697.76 and 428.92 is: 640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.44 : 697.76 = 428.92 : x
  2. Step 2: Convert to fraction form
    467.44/697.76 = 428.92/x
  3. Step 3: Cross multiply
    467.44x = 697.76 × 428.92
  4. Step 4: Simplify right side
    467.44x = 299,283.22
  5. Step 5: Solve for x
    x = 299,283.22/467.44
  6. Step 6: Final answer
    x = 640.26

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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.