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Finding the Fourth Proportional to 433.20, 597.89 and 285.83

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Solution

The fourth proportional to 433.20, 597.89 and 285.83 is: 394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.20 : 597.89 = 285.83 : x
  2. Step 2: Convert to fraction form
    433.20/597.89 = 285.83/x
  3. Step 3: Cross multiply
    433.20x = 597.89 × 285.83
  4. Step 4: Simplify right side
    433.20x = 170,890.48
  5. Step 5: Solve for x
    x = 170,890.48/433.20
  6. Step 6: Final answer
    x = 394.48

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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.