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Finding the Fourth Proportional to 520.24, 779.55 and 314.56

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Solution

The fourth proportional to 520.24, 779.55 and 314.56 is: 471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.24 : 779.55 = 314.56 : x
  2. Step 2: Convert to fraction form
    520.24/779.55 = 314.56/x
  3. Step 3: Cross multiply
    520.24x = 779.55 × 314.56
  4. Step 4: Simplify right side
    520.24x = 245,215.25
  5. Step 5: Solve for x
    x = 245,215.25/520.24
  6. Step 6: Final answer
    x = 471.35

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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.