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Finding the Fourth Proportional to 902.88, 1,354.43 and 286.37

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Solution

The fourth proportional to 902.88, 1,354.43 and 286.37 is: 429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.88 : 1,354.43 = 286.37 : x
  2. Step 2: Convert to fraction form
    902.88/1,354.43 = 286.37/x
  3. Step 3: Cross multiply
    902.88x = 1,354.43 × 286.37
  4. Step 4: Simplify right side
    902.88x = 387,859.92
  5. Step 5: Solve for x
    x = 387,859.92/902.88
  6. Step 6: Final answer
    x = 429.58

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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.