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Finding the Fourth Proportional to 465.72, 641.70 and 349.08

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Solution

The fourth proportional to 465.72, 641.70 and 349.08 is: 480.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.72 : 641.70 = 349.08 : x
  2. Step 2: Convert to fraction form
    465.72/641.70 = 349.08/x
  3. Step 3: Cross multiply
    465.72x = 641.70 × 349.08
  4. Step 4: Simplify right side
    465.72x = 224,004.64
  5. Step 5: Solve for x
    x = 224,004.64/465.72
  6. Step 6: Final answer
    x = 480.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.