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Finding the Fourth Proportional to 682.30, 1,022.52 and 602.11

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Solution

The fourth proportional to 682.30, 1,022.52 and 602.11 is: 902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.30 : 1,022.52 = 602.11 : x
  2. Step 2: Convert to fraction form
    682.30/1,022.52 = 602.11/x
  3. Step 3: Cross multiply
    682.30x = 1,022.52 × 602.11
  4. Step 4: Simplify right side
    682.30x = 615,669.52
  5. Step 5: Solve for x
    x = 615,669.52/682.30
  6. Step 6: Final answer
    x = 902.34

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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.