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Finding the Fourth Proportional to 477.12, 657.82 and 344.28

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Solution

The fourth proportional to 477.12, 657.82 and 344.28 is: 474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.12 : 657.82 = 344.28 : x
  2. Step 2: Convert to fraction form
    477.12/657.82 = 344.28/x
  3. Step 3: Cross multiply
    477.12x = 657.82 × 344.28
  4. Step 4: Simplify right side
    477.12x = 226,474.27
  5. Step 5: Solve for x
    x = 226,474.27/477.12
  6. Step 6: Final answer
    x = 474.67

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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.