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Finding the Fourth Proportional to 522.27, 778.23 and 464.85

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Solution

The fourth proportional to 522.27, 778.23 and 464.85 is: 692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.27 : 778.23 = 464.85 : x
  2. Step 2: Convert to fraction form
    522.27/778.23 = 464.85/x
  3. Step 3: Cross multiply
    522.27x = 778.23 × 464.85
  4. Step 4: Simplify right side
    522.27x = 361,760.22
  5. Step 5: Solve for x
    x = 361,760.22/522.27
  6. Step 6: Final answer
    x = 692.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.