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Finding the Fourth Proportional to 894.80, 1,341.95 and 309.78

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Solution

The fourth proportional to 894.80, 1,341.95 and 309.78 is: 464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.80 : 1,341.95 = 309.78 : x
  2. Step 2: Convert to fraction form
    894.80/1,341.95 = 309.78/x
  3. Step 3: Cross multiply
    894.80x = 1,341.95 × 309.78
  4. Step 4: Simplify right side
    894.80x = 415,709.10
  5. Step 5: Solve for x
    x = 415,709.10/894.80
  6. Step 6: Final answer
    x = 464.58

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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.