Home / 1,122.03-1,689.44-992.83

Finding the Fourth Proportional to 1,122.03, 1,689.44 and 992.83

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Solution

The fourth proportional to 1,122.03, 1,689.44 and 992.83 is: 1,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.03 : 1,689.44 = 992.83 : x
  2. Step 2: Convert to fraction form
    1,122.03/1,689.44 = 992.83/x
  3. Step 3: Cross multiply
    1,122.03x = 1,689.44 × 992.83
  4. Step 4: Simplify right side
    1,122.03x = 1,677,326.72
  5. Step 5: Solve for x
    x = 1,677,326.72/1,122.03
  6. Step 6: Final answer
    x = 1,494.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.