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Finding the Fourth Proportional to 583.98, 874.38 and 428.74

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Solution

The fourth proportional to 583.98, 874.38 and 428.74 is: 641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.98 : 874.38 = 428.74 : x
  2. Step 2: Convert to fraction form
    583.98/874.38 = 428.74/x
  3. Step 3: Cross multiply
    583.98x = 874.38 × 428.74
  4. Step 4: Simplify right side
    583.98x = 374,881.68
  5. Step 5: Solve for x
    x = 374,881.68/583.98
  6. Step 6: Final answer
    x = 641.94

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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.