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Finding the Fourth Proportional to 1,305, 1,954.01 and 894.95

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Solution

The fourth proportional to 1,305, 1,954.01 and 894.95 is: 1,340.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305 : 1,954.01 = 894.95 : x
  2. Step 2: Convert to fraction form
    1,305/1,954.01 = 894.95/x
  3. Step 3: Cross multiply
    1,305x = 1,954.01 × 894.95
  4. Step 4: Simplify right side
    1,305x = 1,748,727.00
  5. Step 5: Solve for x
    x = 1,748,727.00/1,305
  6. Step 6: Final answer
    x = 1,340.02

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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.