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Finding the Fourth Proportional to 894.14, 1,340.89 and 309.04

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Solution

The fourth proportional to 894.14, 1,340.89 and 309.04 is: 463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.14 : 1,340.89 = 309.04 : x
  2. Step 2: Convert to fraction form
    894.14/1,340.89 = 309.04/x
  3. Step 3: Cross multiply
    894.14x = 1,340.89 × 309.04
  4. Step 4: Simplify right side
    894.14x = 414,388.65
  5. Step 5: Solve for x
    x = 414,388.65/894.14
  6. Step 6: Final answer
    x = 463.45

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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.