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Finding the Fourth Proportional to 1,394.52, 1,923.48 and 896.40

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Solution

The fourth proportional to 1,394.52, 1,923.48 and 896.40 is: 1,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.52 : 1,923.48 = 896.40 : x
  2. Step 2: Convert to fraction form
    1,394.52/1,923.48 = 896.40/x
  3. Step 3: Cross multiply
    1,394.52x = 1,923.48 × 896.40
  4. Step 4: Simplify right side
    1,394.52x = 1,724,207.47
  5. Step 5: Solve for x
    x = 1,724,207.47/1,394.52
  6. Step 6: Final answer
    x = 1,236.42

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1.5x scale

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.