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Finding the Fourth Proportional to 1,008, 1,392.71 and 896.49

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Solution

The fourth proportional to 1,008, 1,392.71 and 896.49 is: 1,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008 : 1,392.71 = 896.49 : x
  2. Step 2: Convert to fraction form
    1,008/1,392.71 = 896.49/x
  3. Step 3: Cross multiply
    1,008x = 1,392.71 × 896.49
  4. Step 4: Simplify right side
    1,008x = 1,248,550.59
  5. Step 5: Solve for x
    x = 1,248,550.59/1,008
  6. Step 6: Final answer
    x = 1,238.64

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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.