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Finding the Fourth Proportional to 859.41, 1,288.20 and 396.50

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Solution

The fourth proportional to 859.41, 1,288.20 and 396.50 is: 594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.41 : 1,288.20 = 396.50 : x
  2. Step 2: Convert to fraction form
    859.41/1,288.20 = 396.50/x
  3. Step 3: Cross multiply
    859.41x = 1,288.20 × 396.50
  4. Step 4: Simplify right side
    859.41x = 510,766.35
  5. Step 5: Solve for x
    x = 510,766.35/859.41
  6. Step 6: Final answer
    x = 594.32

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1.5x scale

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.