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Finding the Fourth Proportional to 678.50, 936.33 and 471.62

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Solution

The fourth proportional to 678.50, 936.33 and 471.62 is: 650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.50 : 936.33 = 471.62 : x
  2. Step 2: Convert to fraction form
    678.50/936.33 = 471.62/x
  3. Step 3: Cross multiply
    678.50x = 936.33 × 471.62
  4. Step 4: Simplify right side
    678.50x = 441,591.95
  5. Step 5: Solve for x
    x = 441,591.95/678.50
  6. Step 6: Final answer
    x = 650.84

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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.