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Finding the Fourth Proportional to 583.21, 804.90 and 350.38

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Solution

The fourth proportional to 583.21, 804.90 and 350.38 is: 483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.21 : 804.90 = 350.38 : x
  2. Step 2: Convert to fraction form
    583.21/804.90 = 350.38/x
  3. Step 3: Cross multiply
    583.21x = 804.90 × 350.38
  4. Step 4: Simplify right side
    583.21x = 282,020.86
  5. Step 5: Solve for x
    x = 282,020.86/583.21
  6. Step 6: Final answer
    x = 483.57

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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.