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Finding the Fourth Proportional to 684.78, 945.46 and 423.16

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Solution

The fourth proportional to 684.78, 945.46 and 423.16 is: 584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.78 : 945.46 = 423.16 : x
  2. Step 2: Convert to fraction form
    684.78/945.46 = 423.16/x
  3. Step 3: Cross multiply
    684.78x = 945.46 × 423.16
  4. Step 4: Simplify right side
    684.78x = 400,080.85
  5. Step 5: Solve for x
    x = 400,080.85/684.78
  6. Step 6: Final answer
    x = 584.25

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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.