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Finding the Fourth Proportional to 583.25, 804.89 and 321.29

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Solution

The fourth proportional to 583.25, 804.89 and 321.29 is: 443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.25 : 804.89 = 321.29 : x
  2. Step 2: Convert to fraction form
    583.25/804.89 = 321.29/x
  3. Step 3: Cross multiply
    583.25x = 804.89 × 321.29
  4. Step 4: Simplify right side
    583.25x = 258,601.50
  5. Step 5: Solve for x
    x = 258,601.50/583.25
  6. Step 6: Final answer
    x = 443.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.