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Finding the Fourth Proportional to 583.70, 874.56 and 309.38

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Solution

The fourth proportional to 583.70, 874.56 and 309.38 is: 463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.70 : 874.56 = 309.38 : x
  2. Step 2: Convert to fraction form
    583.70/874.56 = 309.38/x
  3. Step 3: Cross multiply
    583.70x = 874.56 × 309.38
  4. Step 4: Simplify right side
    583.70x = 270,571.37
  5. Step 5: Solve for x
    x = 270,571.37/583.70
  6. Step 6: Final answer
    x = 463.55

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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.