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Finding the Fourth Proportional to 573.68, 791.35 and 352.47

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Solution

The fourth proportional to 573.68, 791.35 and 352.47 is: 486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.68 : 791.35 = 352.47 : x
  2. Step 2: Convert to fraction form
    573.68/791.35 = 352.47/x
  3. Step 3: Cross multiply
    573.68x = 791.35 × 352.47
  4. Step 4: Simplify right side
    573.68x = 278,927.13
  5. Step 5: Solve for x
    x = 278,927.13/573.68
  6. Step 6: Final answer
    x = 486.21

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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.