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Finding the Fourth Proportional to 1,223.37, 1,833.62 and 784.05

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Solution

The fourth proportional to 1,223.37, 1,833.62 and 784.05 is: 1,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.37 : 1,833.62 = 784.05 : x
  2. Step 2: Convert to fraction form
    1,223.37/1,833.62 = 784.05/x
  3. Step 3: Cross multiply
    1,223.37x = 1,833.62 × 784.05
  4. Step 4: Simplify right side
    1,223.37x = 1,437,645.84
  5. Step 5: Solve for x
    x = 1,437,645.84/1,223.37
  6. Step 6: Final answer
    x = 1,175.15

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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.