Home / 1,314.33-1,969.75-491.78

Finding the Fourth Proportional to 1,314.33, 1,969.75 and 491.78

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Solution

The fourth proportional to 1,314.33, 1,969.75 and 491.78 is: 737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.33 : 1,969.75 = 491.78 : x
  2. Step 2: Convert to fraction form
    1,314.33/1,969.75 = 491.78/x
  3. Step 3: Cross multiply
    1,314.33x = 1,969.75 × 491.78
  4. Step 4: Simplify right side
    1,314.33x = 968,683.66
  5. Step 5: Solve for x
    x = 968,683.66/1,314.33
  6. Step 6: Final answer
    x = 737.02

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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.