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Finding the Fourth Proportional to 943.30, 1,416.99 and 820.28

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Solution

The fourth proportional to 943.30, 1,416.99 and 820.28 is: 1,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.30 : 1,416.99 = 820.28 : x
  2. Step 2: Convert to fraction form
    943.30/1,416.99 = 820.28/x
  3. Step 3: Cross multiply
    943.30x = 1,416.99 × 820.28
  4. Step 4: Simplify right side
    943.30x = 1,162,327.21
  5. Step 5: Solve for x
    x = 1,162,327.21/943.30
  6. Step 6: Final answer
    x = 1,232.20

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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.