Home / 1,314.14-1,971.32-492.23

Finding the Fourth Proportional to 1,314.14, 1,971.32 and 492.23

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Solution

The fourth proportional to 1,314.14, 1,971.32 and 492.23 is: 738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.14 : 1,971.32 = 492.23 : x
  2. Step 2: Convert to fraction form
    1,314.14/1,971.32 = 492.23/x
  3. Step 3: Cross multiply
    1,314.14x = 1,971.32 × 492.23
  4. Step 4: Simplify right side
    1,314.14x = 970,330.53
  5. Step 5: Solve for x
    x = 970,330.53/1,314.14
  6. Step 6: Final answer
    x = 738.38

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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.