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Finding the Fourth Proportional to 894.66, 1,334.06 and 835.08

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Solution

The fourth proportional to 894.66, 1,334.06 and 835.08 is: 1,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.66 : 1,334.06 = 835.08 : x
  2. Step 2: Convert to fraction form
    894.66/1,334.06 = 835.08/x
  3. Step 3: Cross multiply
    894.66x = 1,334.06 × 835.08
  4. Step 4: Simplify right side
    894.66x = 1,114,042.65
  5. Step 5: Solve for x
    x = 1,114,042.65/894.66
  6. Step 6: Final answer
    x = 1,245.21

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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.