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Finding the Fourth Proportional to 1,222.19, 1,829.16 and 758.37

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Solution

The fourth proportional to 1,222.19, 1,829.16 and 758.37 is: 1,135.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.19 : 1,829.16 = 758.37 : x
  2. Step 2: Convert to fraction form
    1,222.19/1,829.16 = 758.37/x
  3. Step 3: Cross multiply
    1,222.19x = 1,829.16 × 758.37
  4. Step 4: Simplify right side
    1,222.19x = 1,387,180.07
  5. Step 5: Solve for x
    x = 1,387,180.07/1,222.19
  6. Step 6: Final answer
    x = 1,135.00

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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.