Home / 1,314.23-1,971.41-436.81

Finding the Fourth Proportional to 1,314.23, 1,971.41 and 436.81

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Solution

The fourth proportional to 1,314.23, 1,971.41 and 436.81 is: 655.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.23 : 1,971.41 = 436.81 : x
  2. Step 2: Convert to fraction form
    1,314.23/1,971.41 = 436.81/x
  3. Step 3: Cross multiply
    1,314.23x = 1,971.41 × 436.81
  4. Step 4: Simplify right side
    1,314.23x = 861,131.60
  5. Step 5: Solve for x
    x = 861,131.60/1,314.23
  6. Step 6: Final answer
    x = 655.24

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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.