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Finding the Fourth Proportional to 928.42, 1,389.79 and 668.41

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Solution

The fourth proportional to 928.42, 1,389.79 and 668.41 is: 1,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.42 : 1,389.79 = 668.41 : x
  2. Step 2: Convert to fraction form
    928.42/1,389.79 = 668.41/x
  3. Step 3: Cross multiply
    928.42x = 1,389.79 × 668.41
  4. Step 4: Simplify right side
    928.42x = 928,949.53
  5. Step 5: Solve for x
    x = 928,949.53/928.42
  6. Step 6: Final answer
    x = 1,000.57

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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.