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Finding the Fourth Proportional to 825.00, 1,236.85 and 564.35

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Solution

The fourth proportional to 825.00, 1,236.85 and 564.35 is: 846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.00 : 1,236.85 = 564.35 : x
  2. Step 2: Convert to fraction form
    825.00/1,236.85 = 564.35/x
  3. Step 3: Cross multiply
    825.00x = 1,236.85 × 564.35
  4. Step 4: Simplify right side
    825.00x = 698,018.83
  5. Step 5: Solve for x
    x = 698,018.83/825.00
  6. Step 6: Final answer
    x = 846.08

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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.