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Finding the Fourth Proportional to 519.36, 778.40 and 464.72

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Solution

The fourth proportional to 519.36, 778.40 and 464.72 is: 696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.36 : 778.40 = 464.72 : x
  2. Step 2: Convert to fraction form
    519.36/778.40 = 464.72/x
  3. Step 3: Cross multiply
    519.36x = 778.40 × 464.72
  4. Step 4: Simplify right side
    519.36x = 361,738.05
  5. Step 5: Solve for x
    x = 361,738.05/519.36
  6. Step 6: Final answer
    x = 696.51

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1.5x scale

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.