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Finding the Fourth Proportional to 583.19, 804.80 and 321.20

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Solution

The fourth proportional to 583.19, 804.80 and 321.20 is: 443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.19 : 804.80 = 321.20 : x
  2. Step 2: Convert to fraction form
    583.19/804.80 = 321.20/x
  3. Step 3: Cross multiply
    583.19x = 804.80 × 321.20
  4. Step 4: Simplify right side
    583.19x = 258,501.76
  5. Step 5: Solve for x
    x = 258,501.76/583.19
  6. Step 6: Final answer
    x = 443.25

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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.