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Finding the Fourth Proportional to 894.94, 1,234.83 and 646.81

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Solution

The fourth proportional to 894.94, 1,234.83 and 646.81 is: 892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.94 : 1,234.83 = 646.81 : x
  2. Step 2: Convert to fraction form
    894.94/1,234.83 = 646.81/x
  3. Step 3: Cross multiply
    894.94x = 1,234.83 × 646.81
  4. Step 4: Simplify right side
    894.94x = 798,700.39
  5. Step 5: Solve for x
    x = 798,700.39/894.94
  6. Step 6: Final answer
    x = 892.46

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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.