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Finding the Fourth Proportional to 894.35, 1,341.25 and 346.39

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Solution

The fourth proportional to 894.35, 1,341.25 and 346.39 is: 519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.35 : 1,341.25 = 346.39 : x
  2. Step 2: Convert to fraction form
    894.35/1,341.25 = 346.39/x
  3. Step 3: Cross multiply
    894.35x = 1,341.25 × 346.39
  4. Step 4: Simplify right side
    894.35x = 464,591.37
  5. Step 5: Solve for x
    x = 464,591.37/894.35
  6. Step 6: Final answer
    x = 519.47

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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.