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Finding the Fourth Proportional to 1,320.21, 1,980.63 and 395.73

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Solution

The fourth proportional to 1,320.21, 1,980.63 and 395.73 is: 593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.21 : 1,980.63 = 395.73 : x
  2. Step 2: Convert to fraction form
    1,320.21/1,980.63 = 395.73/x
  3. Step 3: Cross multiply
    1,320.21x = 1,980.63 × 395.73
  4. Step 4: Simplify right side
    1,320.21x = 783,794.71
  5. Step 5: Solve for x
    x = 783,794.71/1,320.21
  6. Step 6: Final answer
    x = 593.69

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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.