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Finding the Fourth Proportional to 520.45, 778.38 and 463.08

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Solution

The fourth proportional to 520.45, 778.38 and 463.08 is: 692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.45 : 778.38 = 463.08 : x
  2. Step 2: Convert to fraction form
    520.45/778.38 = 463.08/x
  3. Step 3: Cross multiply
    520.45x = 778.38 × 463.08
  4. Step 4: Simplify right side
    520.45x = 360,452.21
  5. Step 5: Solve for x
    x = 360,452.21/520.45
  6. Step 6: Final answer
    x = 692.58

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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.