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Finding the Fourth Proportional to 894.75, 1,231.83 and 778.26

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Solution

The fourth proportional to 894.75, 1,231.83 and 778.26 is: 1,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.75 : 1,231.83 = 778.26 : x
  2. Step 2: Convert to fraction form
    894.75/1,231.83 = 778.26/x
  3. Step 3: Cross multiply
    894.75x = 1,231.83 × 778.26
  4. Step 4: Simplify right side
    894.75x = 958,684.02
  5. Step 5: Solve for x
    x = 958,684.02/894.75
  6. Step 6: Final answer
    x = 1,071.45

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.