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Finding the Fourth Proportional to 824.95, 1,236.09 and 564.06

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Solution

The fourth proportional to 824.95, 1,236.09 and 564.06 is: 845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.95 : 1,236.09 = 564.06 : x
  2. Step 2: Convert to fraction form
    824.95/1,236.09 = 564.06/x
  3. Step 3: Cross multiply
    824.95x = 1,236.09 × 564.06
  4. Step 4: Simplify right side
    824.95x = 697,235.68
  5. Step 5: Solve for x
    x = 697,235.68/824.95
  6. Step 6: Final answer
    x = 845.18

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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.