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Finding the Fourth Proportional to 902.60, 1,356.78 and 864.20

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Solution

The fourth proportional to 902.60, 1,356.78 and 864.20 is: 1,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.60 : 1,356.78 = 864.20 : x
  2. Step 2: Convert to fraction form
    902.60/1,356.78 = 864.20/x
  3. Step 3: Cross multiply
    902.60x = 1,356.78 × 864.20
  4. Step 4: Simplify right side
    902.60x = 1,172,529.28
  5. Step 5: Solve for x
    x = 1,172,529.28/902.60
  6. Step 6: Final answer
    x = 1,299.06

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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.