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Finding the Fourth Proportional to 685, 945.54 and 423.40

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Solution

The fourth proportional to 685, 945.54 and 423.40 is: 584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    685 : 945.54 = 423.40 : x
  2. Step 2: Convert to fraction form
    685/945.54 = 423.40/x
  3. Step 3: Cross multiply
    685x = 945.54 × 423.40
  4. Step 4: Simplify right side
    685x = 400,341.64
  5. Step 5: Solve for x
    x = 400,341.64/685
  6. Step 6: Final answer
    x = 584.44

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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.