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Finding the Fourth Proportional to 682.88, 1,023.20 and 393.60

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Solution

The fourth proportional to 682.88, 1,023.20 and 393.60 is: 589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.88 : 1,023.20 = 393.60 : x
  2. Step 2: Convert to fraction form
    682.88/1,023.20 = 393.60/x
  3. Step 3: Cross multiply
    682.88x = 1,023.20 × 393.60
  4. Step 4: Simplify right side
    682.88x = 402,731.52
  5. Step 5: Solve for x
    x = 402,731.52/682.88
  6. Step 6: Final answer
    x = 589.75

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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.