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Finding the Fourth Proportional to 478.50, 716.94 and 234.69

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Solution

The fourth proportional to 478.50, 716.94 and 234.69 is: 351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.50 : 716.94 = 234.69 : x
  2. Step 2: Convert to fraction form
    478.50/716.94 = 234.69/x
  3. Step 3: Cross multiply
    478.50x = 716.94 × 234.69
  4. Step 4: Simplify right side
    478.50x = 168,258.65
  5. Step 5: Solve for x
    x = 168,258.65/478.50
  6. Step 6: Final answer
    x = 351.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.