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Finding the Fourth Proportional to 855.69, 1,288.06 and 730.41

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Solution

The fourth proportional to 855.69, 1,288.06 and 730.41 is: 1,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.69 : 1,288.06 = 730.41 : x
  2. Step 2: Convert to fraction form
    855.69/1,288.06 = 730.41/x
  3. Step 3: Cross multiply
    855.69x = 1,288.06 × 730.41
  4. Step 4: Simplify right side
    855.69x = 940,811.90
  5. Step 5: Solve for x
    x = 940,811.90/855.69
  6. Step 6: Final answer
    x = 1,099.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.