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Finding the Fourth Proportional to 928.77, 1,392.49 and 466.22

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Solution

The fourth proportional to 928.77, 1,392.49 and 466.22 is: 698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.77 : 1,392.49 = 466.22 : x
  2. Step 2: Convert to fraction form
    928.77/1,392.49 = 466.22/x
  3. Step 3: Cross multiply
    928.77x = 1,392.49 × 466.22
  4. Step 4: Simplify right side
    928.77x = 649,198.56
  5. Step 5: Solve for x
    x = 649,198.56/928.77
  6. Step 6: Final answer
    x = 698.99

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