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Finding the Fourth Proportional to 612.20, 844.78 and 346.67

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Solution

The fourth proportional to 612.20, 844.78 and 346.67 is: 478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.20 : 844.78 = 346.67 : x
  2. Step 2: Convert to fraction form
    612.20/844.78 = 346.67/x
  3. Step 3: Cross multiply
    612.20x = 844.78 × 346.67
  4. Step 4: Simplify right side
    612.20x = 292,857.77
  5. Step 5: Solve for x
    x = 292,857.77/612.20
  6. Step 6: Final answer
    x = 478.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.