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Finding the Fourth Proportional to 520.22, 779.93 and 314.74

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Solution

The fourth proportional to 520.22, 779.93 and 314.74 is: 471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.22 : 779.93 = 314.74 : x
  2. Step 2: Convert to fraction form
    520.22/779.93 = 314.74/x
  3. Step 3: Cross multiply
    520.22x = 779.93 × 314.74
  4. Step 4: Simplify right side
    520.22x = 245,475.17
  5. Step 5: Solve for x
    x = 245,475.17/520.22
  6. Step 6: Final answer
    x = 471.87

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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.