Home / 1,314.46-1,971.35-389.80

Finding the Fourth Proportional to 1,314.46, 1,971.35 and 389.80

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Solution

The fourth proportional to 1,314.46, 1,971.35 and 389.80 is: 584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.46 : 1,971.35 = 389.80 : x
  2. Step 2: Convert to fraction form
    1,314.46/1,971.35 = 389.80/x
  3. Step 3: Cross multiply
    1,314.46x = 1,971.35 × 389.80
  4. Step 4: Simplify right side
    1,314.46x = 768,422.02
  5. Step 5: Solve for x
    x = 768,422.02/1,314.46
  6. Step 6: Final answer
    x = 584.59

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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.