Home / 1,225.80-1,690.34-1,198.98

Finding the Fourth Proportional to 1,225.80, 1,690.34 and 1,198.98

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Solution

The fourth proportional to 1,225.80, 1,690.34 and 1,198.98 is: 1,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.80 : 1,690.34 = 1,198.98 : x
  2. Step 2: Convert to fraction form
    1,225.80/1,690.34 = 1,198.98/x
  3. Step 3: Cross multiply
    1,225.80x = 1,690.34 × 1,198.98
  4. Step 4: Simplify right side
    1,225.80x = 2,026,677.86
  5. Step 5: Solve for x
    x = 2,026,677.86/1,225.80
  6. Step 6: Final answer
    x = 1,653.35

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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.