Home / 1,314.27-1,971.39-390.45

Finding the Fourth Proportional to 1,314.27, 1,971.39 and 390.45

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Solution

The fourth proportional to 1,314.27, 1,971.39 and 390.45 is: 585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.27 : 1,971.39 = 390.45 : x
  2. Step 2: Convert to fraction form
    1,314.27/1,971.39 = 390.45/x
  3. Step 3: Cross multiply
    1,314.27x = 1,971.39 × 390.45
  4. Step 4: Simplify right side
    1,314.27x = 769,735.89
  5. Step 5: Solve for x
    x = 769,735.89/1,314.27
  6. Step 6: Final answer
    x = 585.67

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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.