Home / 1,316.06-1,974.80-494.27

Finding the Fourth Proportional to 1,316.06, 1,974.80 and 494.27

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Solution

The fourth proportional to 1,316.06, 1,974.80 and 494.27 is: 741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.06 : 1,974.80 = 494.27 : x
  2. Step 2: Convert to fraction form
    1,316.06/1,974.80 = 494.27/x
  3. Step 3: Cross multiply
    1,316.06x = 1,974.80 × 494.27
  4. Step 4: Simplify right side
    1,316.06x = 976,083.16
  5. Step 5: Solve for x
    x = 976,083.16/1,316.06
  6. Step 6: Final answer
    x = 741.67

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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.