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Finding the Fourth Proportional to 583.18, 874.97 and 388.96

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Solution

The fourth proportional to 583.18, 874.97 and 388.96 is: 583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.18 : 874.97 = 388.96 : x
  2. Step 2: Convert to fraction form
    583.18/874.97 = 388.96/x
  3. Step 3: Cross multiply
    583.18x = 874.97 × 388.96
  4. Step 4: Simplify right side
    583.18x = 340,325.66
  5. Step 5: Solve for x
    x = 340,325.66/583.18
  6. Step 6: Final answer
    x = 583.57

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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.