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Finding the Fourth Proportional to 928.35, 1,392.93 and 380.94

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Solution

The fourth proportional to 928.35, 1,392.93 and 380.94 is: 571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.35 : 1,392.93 = 380.94 : x
  2. Step 2: Convert to fraction form
    928.35/1,392.93 = 380.94/x
  3. Step 3: Cross multiply
    928.35x = 1,392.93 × 380.94
  4. Step 4: Simplify right side
    928.35x = 530,622.75
  5. Step 5: Solve for x
    x = 530,622.75/928.35
  6. Step 6: Final answer
    x = 571.58

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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.