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Finding the Fourth Proportional to 557.28, 769.23 and 380.70

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Solution

The fourth proportional to 557.28, 769.23 and 380.70 is: 525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.28 : 769.23 = 380.70 : x
  2. Step 2: Convert to fraction form
    557.28/769.23 = 380.70/x
  3. Step 3: Cross multiply
    557.28x = 769.23 × 380.70
  4. Step 4: Simplify right side
    557.28x = 292,845.86
  5. Step 5: Solve for x
    x = 292,845.86/557.28
  6. Step 6: Final answer
    x = 525.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.