Home / 1,111.03-1,533.23-816.85

Finding the Fourth Proportional to 1,111.03, 1,533.23 and 816.85

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Solution

The fourth proportional to 1,111.03, 1,533.23 and 816.85 is: 1,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.03 : 1,533.23 = 816.85 : x
  2. Step 2: Convert to fraction form
    1,111.03/1,533.23 = 816.85/x
  3. Step 3: Cross multiply
    1,111.03x = 1,533.23 × 816.85
  4. Step 4: Simplify right side
    1,111.03x = 1,252,418.93
  5. Step 5: Solve for x
    x = 1,252,418.93/1,111.03
  6. Step 6: Final answer
    x = 1,127.26

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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.