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Finding the Fourth Proportional to 1,297.28, 1,945.57 and 886.34

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Solution

The fourth proportional to 1,297.28, 1,945.57 and 886.34 is: 1,329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.28 : 1,945.57 = 886.34 : x
  2. Step 2: Convert to fraction form
    1,297.28/1,945.57 = 886.34/x
  3. Step 3: Cross multiply
    1,297.28x = 1,945.57 × 886.34
  4. Step 4: Simplify right side
    1,297.28x = 1,724,436.51
  5. Step 5: Solve for x
    x = 1,724,436.51/1,297.28
  6. Step 6: Final answer
    x = 1,329.27

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1.5x scale

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.