Home / 1,119.35-1,674.69-974.77

Finding the Fourth Proportional to 1,119.35, 1,674.69 and 974.77

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Solution

The fourth proportional to 1,119.35, 1,674.69 and 974.77 is: 1,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.35 : 1,674.69 = 974.77 : x
  2. Step 2: Convert to fraction form
    1,119.35/1,674.69 = 974.77/x
  3. Step 3: Cross multiply
    1,119.35x = 1,674.69 × 974.77
  4. Step 4: Simplify right side
    1,119.35x = 1,632,437.57
  5. Step 5: Solve for x
    x = 1,632,437.57/1,119.35
  6. Step 6: Final answer
    x = 1,458.38

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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.