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Finding the Fourth Proportional to 614.63, 848.18 and 338.63

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Solution

The fourth proportional to 614.63, 848.18 and 338.63 is: 467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.63 : 848.18 = 338.63 : x
  2. Step 2: Convert to fraction form
    614.63/848.18 = 338.63/x
  3. Step 3: Cross multiply
    614.63x = 848.18 × 338.63
  4. Step 4: Simplify right side
    614.63x = 287,215.80
  5. Step 5: Solve for x
    x = 287,215.80/614.63
  6. Step 6: Final answer
    x = 467.30

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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.