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Finding the Fourth Proportional to 1,289.74, 1,780.25 and 823.99

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Solution

The fourth proportional to 1,289.74, 1,780.25 and 823.99 is: 1,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.74 : 1,780.25 = 823.99 : x
  2. Step 2: Convert to fraction form
    1,289.74/1,780.25 = 823.99/x
  3. Step 3: Cross multiply
    1,289.74x = 1,780.25 × 823.99
  4. Step 4: Simplify right side
    1,289.74x = 1,466,912.61
  5. Step 5: Solve for x
    x = 1,466,912.61/1,289.74
  6. Step 6: Final answer
    x = 1,137.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.