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Finding the Fourth Proportional to 682.35, 1,021.68 and 357.06

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Solution

The fourth proportional to 682.35, 1,021.68 and 357.06 is: 534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.35 : 1,021.68 = 357.06 : x
  2. Step 2: Convert to fraction form
    682.35/1,021.68 = 357.06/x
  3. Step 3: Cross multiply
    682.35x = 1,021.68 × 357.06
  4. Step 4: Simplify right side
    682.35x = 364,801.06
  5. Step 5: Solve for x
    x = 364,801.06/682.35
  6. Step 6: Final answer
    x = 534.62

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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.