Home / 1,314.16-1,971.07-340.34

Finding the Fourth Proportional to 1,314.16, 1,971.07 and 340.34

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Solution

The fourth proportional to 1,314.16, 1,971.07 and 340.34 is: 510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.16 : 1,971.07 = 340.34 : x
  2. Step 2: Convert to fraction form
    1,314.16/1,971.07 = 340.34/x
  3. Step 3: Cross multiply
    1,314.16x = 1,971.07 × 340.34
  4. Step 4: Simplify right side
    1,314.16x = 670,823.26
  5. Step 5: Solve for x
    x = 670,823.26/1,314.16
  6. Step 6: Final answer
    x = 510.46

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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.