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Finding the Fourth Proportional to 824.00, 1,236.29 and 477.64

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Solution

The fourth proportional to 824.00, 1,236.29 and 477.64 is: 716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.00 : 1,236.29 = 477.64 : x
  2. Step 2: Convert to fraction form
    824.00/1,236.29 = 477.64/x
  3. Step 3: Cross multiply
    824.00x = 1,236.29 × 477.64
  4. Step 4: Simplify right side
    824.00x = 590,496.08
  5. Step 5: Solve for x
    x = 590,496.08/824.00
  6. Step 6: Final answer
    x = 716.62

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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.