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Finding the Fourth Proportional to 928.65, 1,393.08 and 380.89

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Solution

The fourth proportional to 928.65, 1,393.08 and 380.89 is: 571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.65 : 1,393.08 = 380.89 : x
  2. Step 2: Convert to fraction form
    928.65/1,393.08 = 380.89/x
  3. Step 3: Cross multiply
    928.65x = 1,393.08 × 380.89
  4. Step 4: Simplify right side
    928.65x = 530,610.24
  5. Step 5: Solve for x
    x = 530,610.24/928.65
  6. Step 6: Final answer
    x = 571.38

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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.