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Finding the Fourth Proportional to 859.51, 1,288.20 and 396.66

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Solution

The fourth proportional to 859.51, 1,288.20 and 396.66 is: 594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.51 : 1,288.20 = 396.66 : x
  2. Step 2: Convert to fraction form
    859.51/1,288.20 = 396.66/x
  3. Step 3: Cross multiply
    859.51x = 1,288.20 × 396.66
  4. Step 4: Simplify right side
    859.51x = 510,977.41
  5. Step 5: Solve for x
    x = 510,977.41/859.51
  6. Step 6: Final answer
    x = 594.50

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Double scale
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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.