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Finding the Fourth Proportional to 567.63, 851.31 and 351.09

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Solution

The fourth proportional to 567.63, 851.31 and 351.09 is: 526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.63 : 851.31 = 351.09 : x
  2. Step 2: Convert to fraction form
    567.63/851.31 = 351.09/x
  3. Step 3: Cross multiply
    567.63x = 851.31 × 351.09
  4. Step 4: Simplify right side
    567.63x = 298,886.43
  5. Step 5: Solve for x
    x = 298,886.43/567.63
  6. Step 6: Final answer
    x = 526.55

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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.