Home / 1,222.16-1,687.08-849.68

Finding the Fourth Proportional to 1,222.16, 1,687.08 and 849.68

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Solution

The fourth proportional to 1,222.16, 1,687.08 and 849.68 is: 1,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.16 : 1,687.08 = 849.68 : x
  2. Step 2: Convert to fraction form
    1,222.16/1,687.08 = 849.68/x
  3. Step 3: Cross multiply
    1,222.16x = 1,687.08 × 849.68
  4. Step 4: Simplify right side
    1,222.16x = 1,433,478.13
  5. Step 5: Solve for x
    x = 1,433,478.13/1,222.16
  6. Step 6: Final answer
    x = 1,172.91

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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.