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Finding the Fourth Proportional to 894.75, 1,335.89 and 839.36

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Solution

The fourth proportional to 894.75, 1,335.89 and 839.36 is: 1,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.75 : 1,335.89 = 839.36 : x
  2. Step 2: Convert to fraction form
    894.75/1,335.89 = 839.36/x
  3. Step 3: Cross multiply
    894.75x = 1,335.89 × 839.36
  4. Step 4: Simplify right side
    894.75x = 1,121,298.07
  5. Step 5: Solve for x
    x = 1,121,298.07/894.75
  6. Step 6: Final answer
    x = 1,253.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.