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Finding the Fourth Proportional to 894.20, 1,341.44 and 346.78

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Solution

The fourth proportional to 894.20, 1,341.44 and 346.78 is: 520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.20 : 1,341.44 = 346.78 : x
  2. Step 2: Convert to fraction form
    894.20/1,341.44 = 346.78/x
  3. Step 3: Cross multiply
    894.20x = 1,341.44 × 346.78
  4. Step 4: Simplify right side
    894.20x = 465,176.12
  5. Step 5: Solve for x
    x = 465,176.12/894.20
  6. Step 6: Final answer
    x = 520.21

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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.