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Finding the Fourth Proportional to 557.42, 769.50 and 383.67

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Solution

The fourth proportional to 557.42, 769.50 and 383.67 is: 529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.42 : 769.50 = 383.67 : x
  2. Step 2: Convert to fraction form
    557.42/769.50 = 383.67/x
  3. Step 3: Cross multiply
    557.42x = 769.50 × 383.67
  4. Step 4: Simplify right side
    557.42x = 295,234.07
  5. Step 5: Solve for x
    x = 295,234.07/557.42
  6. Step 6: Final answer
    x = 529.65

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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.