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Finding the Fourth Proportional to 520.18, 778.99 and 337.03

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Solution

The fourth proportional to 520.18, 778.99 and 337.03 is: 504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.18 : 778.99 = 337.03 : x
  2. Step 2: Convert to fraction form
    520.18/778.99 = 337.03/x
  3. Step 3: Cross multiply
    520.18x = 778.99 × 337.03
  4. Step 4: Simplify right side
    520.18x = 262,543.00
  5. Step 5: Solve for x
    x = 262,543.00/520.18
  6. Step 6: Final answer
    x = 504.72

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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.