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Finding the Fourth Proportional to 444.78, 612.92 and 346.35

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Solution

The fourth proportional to 444.78, 612.92 and 346.35 is: 477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.78 : 612.92 = 346.35 : x
  2. Step 2: Convert to fraction form
    444.78/612.92 = 346.35/x
  3. Step 3: Cross multiply
    444.78x = 612.92 × 346.35
  4. Step 4: Simplify right side
    444.78x = 212,283.11
  5. Step 5: Solve for x
    x = 212,283.11/444.78
  6. Step 6: Final answer
    x = 477.28

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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.