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Finding the Fourth Proportional to 685.03, 945.69 and 423.20

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Solution

The fourth proportional to 685.03, 945.69 and 423.20 is: 584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.03 : 945.69 = 423.20 : x
  2. Step 2: Convert to fraction form
    685.03/945.69 = 423.20/x
  3. Step 3: Cross multiply
    685.03x = 945.69 × 423.20
  4. Step 4: Simplify right side
    685.03x = 400,209.69
  5. Step 5: Solve for x
    x = 400,209.69/685.03
  6. Step 6: Final answer
    x = 584.22

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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.