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Finding the Fourth Proportional to 682.90, 1,028.90 and 617.96

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Solution

The fourth proportional to 682.90, 1,028.90 and 617.96 is: 931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.90 : 1,028.90 = 617.96 : x
  2. Step 2: Convert to fraction form
    682.90/1,028.90 = 617.96/x
  3. Step 3: Cross multiply
    682.90x = 1,028.90 × 617.96
  4. Step 4: Simplify right side
    682.90x = 635,823.16
  5. Step 5: Solve for x
    x = 635,823.16/682.90
  6. Step 6: Final answer
    x = 931.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.