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Finding the Fourth Proportional to 894.05, 1,341.05 and 346.35

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Solution

The fourth proportional to 894.05, 1,341.05 and 346.35 is: 519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.05 : 1,341.05 = 346.35 : x
  2. Step 2: Convert to fraction form
    894.05/1,341.05 = 346.35/x
  3. Step 3: Cross multiply
    894.05x = 1,341.05 × 346.35
  4. Step 4: Simplify right side
    894.05x = 464,470.94
  5. Step 5: Solve for x
    x = 464,470.94/894.05
  6. Step 6: Final answer
    x = 519.51

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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.