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Finding the Fourth Proportional to 597.80, 825.20 and 535.52

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Solution

The fourth proportional to 597.80, 825.20 and 535.52 is: 739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.80 : 825.20 = 535.52 : x
  2. Step 2: Convert to fraction form
    597.80/825.20 = 535.52/x
  3. Step 3: Cross multiply
    597.80x = 825.20 × 535.52
  4. Step 4: Simplify right side
    597.80x = 441,908.43
  5. Step 5: Solve for x
    x = 441,908.43/597.80
  6. Step 6: Final answer
    x = 739.22

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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.