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Finding the Fourth Proportional to 583.98, 874.94 and 520.42

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Solution

The fourth proportional to 583.98, 874.94 and 520.42 is: 779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.98 : 874.94 = 520.42 : x
  2. Step 2: Convert to fraction form
    583.98/874.94 = 520.42/x
  3. Step 3: Cross multiply
    583.98x = 874.94 × 520.42
  4. Step 4: Simplify right side
    583.98x = 455,336.27
  5. Step 5: Solve for x
    x = 455,336.27/583.98
  6. Step 6: Final answer
    x = 779.71

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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.