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Finding the Fourth Proportional to 1,313.44, 1,970.22 and 389.08

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Solution

The fourth proportional to 1,313.44, 1,970.22 and 389.08 is: 583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.44 : 1,970.22 = 389.08 : x
  2. Step 2: Convert to fraction form
    1,313.44/1,970.22 = 389.08/x
  3. Step 3: Cross multiply
    1,313.44x = 1,970.22 × 389.08
  4. Step 4: Simplify right side
    1,313.44x = 766,573.20
  5. Step 5: Solve for x
    x = 766,573.20/1,313.44
  6. Step 6: Final answer
    x = 583.64

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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.