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Finding the Fourth Proportional to 529.19, 791.42 and 397.52

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Solution

The fourth proportional to 529.19, 791.42 and 397.52 is: 594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.19 : 791.42 = 397.52 : x
  2. Step 2: Convert to fraction form
    529.19/791.42 = 397.52/x
  3. Step 3: Cross multiply
    529.19x = 791.42 × 397.52
  4. Step 4: Simplify right side
    529.19x = 314,599.33
  5. Step 5: Solve for x
    x = 314,599.33/529.19
  6. Step 6: Final answer
    x = 594.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.