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Finding the Fourth Proportional to 618.56, 928.29 and 344.63

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Solution

The fourth proportional to 618.56, 928.29 and 344.63 is: 517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.56 : 928.29 = 344.63 : x
  2. Step 2: Convert to fraction form
    618.56/928.29 = 344.63/x
  3. Step 3: Cross multiply
    618.56x = 928.29 × 344.63
  4. Step 4: Simplify right side
    618.56x = 319,916.58
  5. Step 5: Solve for x
    x = 319,916.58/618.56
  6. Step 6: Final answer
    x = 517.20

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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.