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Finding the Fourth Proportional to 823.20, 1,236.94 and 619.68

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Solution

The fourth proportional to 823.20, 1,236.94 and 619.68 is: 931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.20 : 1,236.94 = 619.68 : x
  2. Step 2: Convert to fraction form
    823.20/1,236.94 = 619.68/x
  3. Step 3: Cross multiply
    823.20x = 1,236.94 × 619.68
  4. Step 4: Simplify right side
    823.20x = 766,510.07
  5. Step 5: Solve for x
    x = 766,510.07/823.20
  6. Step 6: Final answer
    x = 931.14

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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.