Home / 1,314.94-1,972.18-390.49

Finding the Fourth Proportional to 1,314.94, 1,972.18 and 390.49

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Solution

The fourth proportional to 1,314.94, 1,972.18 and 390.49 is: 585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.94 : 1,972.18 = 390.49 : x
  2. Step 2: Convert to fraction form
    1,314.94/1,972.18 = 390.49/x
  3. Step 3: Cross multiply
    1,314.94x = 1,972.18 × 390.49
  4. Step 4: Simplify right side
    1,314.94x = 770,116.57
  5. Step 5: Solve for x
    x = 770,116.57/1,314.94
  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.