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Finding the Fourth Proportional to 1,303.45, 1,954 and 481.17

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Solution

The fourth proportional to 1,303.45, 1,954 and 481.17 is: 721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.45 : 1,954 = 481.17 : x
  2. Step 2: Convert to fraction form
    1,303.45/1,954 = 481.17/x
  3. Step 3: Cross multiply
    1,303.45x = 1,954 × 481.17
  4. Step 4: Simplify right side
    1,303.45x = 940,206.18
  5. Step 5: Solve for x
    x = 940,206.18/1,303.45
  6. Step 6: Final answer
    x = 721.32

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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.