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Finding the Fourth Proportional to 682.62, 1,028.93 and 624.19

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Solution

The fourth proportional to 682.62, 1,028.93 and 624.19 is: 940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.62 : 1,028.93 = 624.19 : x
  2. Step 2: Convert to fraction form
    682.62/1,028.93 = 624.19/x
  3. Step 3: Cross multiply
    682.62x = 1,028.93 × 624.19
  4. Step 4: Simplify right side
    682.62x = 642,242.12
  5. Step 5: Solve for x
    x = 642,242.12/682.62
  6. Step 6: Final answer
    x = 940.85

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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.