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Finding the Fourth Proportional to 433.73, 598.64 and 286.38

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Solution

The fourth proportional to 433.73, 598.64 and 286.38 is: 395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.73 : 598.64 = 286.38 : x
  2. Step 2: Convert to fraction form
    433.73/598.64 = 286.38/x
  3. Step 3: Cross multiply
    433.73x = 598.64 × 286.38
  4. Step 4: Simplify right side
    433.73x = 171,437.09
  5. Step 5: Solve for x
    x = 171,437.09/433.73
  6. Step 6: Final answer
    x = 395.27

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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.