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Finding the Fourth Proportional to 583.61, 874.26 and 309.33

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Solution

The fourth proportional to 583.61, 874.26 and 309.33 is: 463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.61 : 874.26 = 309.33 : x
  2. Step 2: Convert to fraction form
    583.61/874.26 = 309.33/x
  3. Step 3: Cross multiply
    583.61x = 874.26 × 309.33
  4. Step 4: Simplify right side
    583.61x = 270,434.85
  5. Step 5: Solve for x
    x = 270,434.85/583.61
  6. Step 6: Final answer
    x = 463.39

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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.