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Finding the Fourth Proportional to 902.86, 1,354.24 and 286.61

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Solution

The fourth proportional to 902.86, 1,354.24 and 286.61 is: 429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.86 : 1,354.24 = 286.61 : x
  2. Step 2: Convert to fraction form
    902.86/1,354.24 = 286.61/x
  3. Step 3: Cross multiply
    902.86x = 1,354.24 × 286.61
  4. Step 4: Simplify right side
    902.86x = 388,130.70
  5. Step 5: Solve for x
    x = 388,130.70/902.86
  6. Step 6: Final answer
    x = 429.89

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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.