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Finding the Fourth Proportional to 685.99, 1,026.87 and 396.55

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Solution

The fourth proportional to 685.99, 1,026.87 and 396.55 is: 593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.99 : 1,026.87 = 396.55 : x
  2. Step 2: Convert to fraction form
    685.99/1,026.87 = 396.55/x
  3. Step 3: Cross multiply
    685.99x = 1,026.87 × 396.55
  4. Step 4: Simplify right side
    685.99x = 407,205.30
  5. Step 5: Solve for x
    x = 407,205.30/685.99
  6. Step 6: Final answer
    x = 593.60

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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.