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Finding the Fourth Proportional to 1,300.63, 1,794.91 and 741.18

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Solution

The fourth proportional to 1,300.63, 1,794.91 and 741.18 is: 1,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.63 : 1,794.91 = 741.18 : x
  2. Step 2: Convert to fraction form
    1,300.63/1,794.91 = 741.18/x
  3. Step 3: Cross multiply
    1,300.63x = 1,794.91 × 741.18
  4. Step 4: Simplify right side
    1,300.63x = 1,330,351.39
  5. Step 5: Solve for x
    x = 1,330,351.39/1,300.63
  6. Step 6: Final answer
    x = 1,022.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.