Home / 1,314.85-1,972.67-390.44

Finding the Fourth Proportional to 1,314.85, 1,972.67 and 390.44

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Solution

The fourth proportional to 1,314.85, 1,972.67 and 390.44 is: 585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.85 : 1,972.67 = 390.44 : x
  2. Step 2: Convert to fraction form
    1,314.85/1,972.67 = 390.44/x
  3. Step 3: Cross multiply
    1,314.85x = 1,972.67 × 390.44
  4. Step 4: Simplify right side
    1,314.85x = 770,197.46
  5. Step 5: Solve for x
    x = 770,197.46/1,314.85
  6. Step 6: Final answer
    x = 585.77

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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.