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Finding the Fourth Proportional to 573.22, 790.80 and 352.06

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Solution

The fourth proportional to 573.22, 790.80 and 352.06 is: 485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.22 : 790.80 = 352.06 : x
  2. Step 2: Convert to fraction form
    573.22/790.80 = 352.06/x
  3. Step 3: Cross multiply
    573.22x = 790.80 × 352.06
  4. Step 4: Simplify right side
    573.22x = 278,409.05
  5. Step 5: Solve for x
    x = 278,409.05/573.22
  6. Step 6: Final answer
    x = 485.69

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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.