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Finding the Fourth Proportional to 945.86, 1,304.78 and 684.09

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Solution

The fourth proportional to 945.86, 1,304.78 and 684.09 is: 943.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.86 : 1,304.78 = 684.09 : x
  2. Step 2: Convert to fraction form
    945.86/1,304.78 = 684.09/x
  3. Step 3: Cross multiply
    945.86x = 1,304.78 × 684.09
  4. Step 4: Simplify right side
    945.86x = 892,583.53
  5. Step 5: Solve for x
    x = 892,583.53/945.86
  6. Step 6: Final answer
    x = 943.68

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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.