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Finding the Fourth Proportional to 476.24, 656.64 and 397.67

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Solution

The fourth proportional to 476.24, 656.64 and 397.67 is: 548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.24 : 656.64 = 397.67 : x
  2. Step 2: Convert to fraction form
    476.24/656.64 = 397.67/x
  3. Step 3: Cross multiply
    476.24x = 656.64 × 397.67
  4. Step 4: Simplify right side
    476.24x = 261,122.75
  5. Step 5: Solve for x
    x = 261,122.75/476.24
  6. Step 6: Final answer
    x = 548.31

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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.