Home / 1,314.44-1,971.70-340.56

Finding the Fourth Proportional to 1,314.44, 1,971.70 and 340.56

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Solution

The fourth proportional to 1,314.44, 1,971.70 and 340.56 is: 510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.44 : 1,971.70 = 340.56 : x
  2. Step 2: Convert to fraction form
    1,314.44/1,971.70 = 340.56/x
  3. Step 3: Cross multiply
    1,314.44x = 1,971.70 × 340.56
  4. Step 4: Simplify right side
    1,314.44x = 671,482.15
  5. Step 5: Solve for x
    x = 671,482.15/1,314.44
  6. Step 6: Final answer
    x = 510.85

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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.