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Finding the Fourth Proportional to 573.12, 796.48 and 567.20

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Solution

The fourth proportional to 573.12, 796.48 and 567.20 is: 788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.12 : 796.48 = 567.20 : x
  2. Step 2: Convert to fraction form
    573.12/796.48 = 567.20/x
  3. Step 3: Cross multiply
    573.12x = 796.48 × 567.20
  4. Step 4: Simplify right side
    573.12x = 451,763.46
  5. Step 5: Solve for x
    x = 451,763.46/573.12
  6. Step 6: Final answer
    x = 788.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.