Home / 1,314.19-1,971.19-340.26

Finding the Fourth Proportional to 1,314.19, 1,971.19 and 340.26

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Solution

The fourth proportional to 1,314.19, 1,971.19 and 340.26 is: 510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.19 : 1,971.19 = 340.26 : x
  2. Step 2: Convert to fraction form
    1,314.19/1,971.19 = 340.26/x
  3. Step 3: Cross multiply
    1,314.19x = 1,971.19 × 340.26
  4. Step 4: Simplify right side
    1,314.19x = 670,717.11
  5. Step 5: Solve for x
    x = 670,717.11/1,314.19
  6. Step 6: Final answer
    x = 510.37

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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.