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Finding the Fourth Proportional to 902.48, 1,353.65 and 286.20

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Solution

The fourth proportional to 902.48, 1,353.65 and 286.20 is: 429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.48 : 1,353.65 = 286.20 : x
  2. Step 2: Convert to fraction form
    902.48/1,353.65 = 286.20/x
  3. Step 3: Cross multiply
    902.48x = 1,353.65 × 286.20
  4. Step 4: Simplify right side
    902.48x = 387,413.20
  5. Step 5: Solve for x
    x = 387,413.20/902.48
  6. Step 6: Final answer
    x = 429.28

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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.