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Finding the Fourth Proportional to 682.19, 1,022.13 and 438.59

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Solution

The fourth proportional to 682.19, 1,022.13 and 438.59 is: 657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.19 : 1,022.13 = 438.59 : x
  2. Step 2: Convert to fraction form
    682.19/1,022.13 = 438.59/x
  3. Step 3: Cross multiply
    682.19x = 1,022.13 × 438.59
  4. Step 4: Simplify right side
    682.19x = 448,290.89
  5. Step 5: Solve for x
    x = 448,290.89/682.19
  6. Step 6: Final answer
    x = 657.14

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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.