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Finding the Fourth Proportional to 644.92, 967.38 and 471.67

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Solution

The fourth proportional to 644.92, 967.38 and 471.67 is: 707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.92 : 967.38 = 471.67 : x
  2. Step 2: Convert to fraction form
    644.92/967.38 = 471.67/x
  3. Step 3: Cross multiply
    644.92x = 967.38 × 471.67
  4. Step 4: Simplify right side
    644.92x = 456,284.12
  5. Step 5: Solve for x
    x = 456,284.12/644.92
  6. Step 6: Final answer
    x = 707.51

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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.