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Finding the Fourth Proportional to 520.10, 778.89 and 336.48

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Solution

The fourth proportional to 520.10, 778.89 and 336.48 is: 503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.10 : 778.89 = 336.48 : x
  2. Step 2: Convert to fraction form
    520.10/778.89 = 336.48/x
  3. Step 3: Cross multiply
    520.10x = 778.89 × 336.48
  4. Step 4: Simplify right side
    520.10x = 262,080.49
  5. Step 5: Solve for x
    x = 262,080.49/520.10
  6. Step 6: Final answer
    x = 503.91

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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.