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Finding the Fourth Proportional to 675.98, 932.82 and 381.19

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Solution

The fourth proportional to 675.98, 932.82 and 381.19 is: 526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.98 : 932.82 = 381.19 : x
  2. Step 2: Convert to fraction form
    675.98/932.82 = 381.19/x
  3. Step 3: Cross multiply
    675.98x = 932.82 × 381.19
  4. Step 4: Simplify right side
    675.98x = 355,579.64
  5. Step 5: Solve for x
    x = 355,579.64/675.98
  6. Step 6: Final answer
    x = 526.02

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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.