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Finding the Fourth Proportional to 623.82, 855.51 and 597.54

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Solution

The fourth proportional to 623.82, 855.51 and 597.54 is: 819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.82 : 855.51 = 597.54 : x
  2. Step 2: Convert to fraction form
    623.82/855.51 = 597.54/x
  3. Step 3: Cross multiply
    623.82x = 855.51 × 597.54
  4. Step 4: Simplify right side
    623.82x = 511,201.45
  5. Step 5: Solve for x
    x = 511,201.45/623.82
  6. Step 6: Final answer
    x = 819.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.