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Finding the Fourth Proportional to 901.87, 1,353.35 and 828.43

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Solution

The fourth proportional to 901.87, 1,353.35 and 828.43 is: 1,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.87 : 1,353.35 = 828.43 : x
  2. Step 2: Convert to fraction form
    901.87/1,353.35 = 828.43/x
  3. Step 3: Cross multiply
    901.87x = 1,353.35 × 828.43
  4. Step 4: Simplify right side
    901.87x = 1,121,155.74
  5. Step 5: Solve for x
    x = 1,121,155.74/901.87
  6. Step 6: Final answer
    x = 1,243.15

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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.