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Finding the Fourth Proportional to 685.56, 945.52 and 436.80

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Solution

The fourth proportional to 685.56, 945.52 and 436.80 is: 602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.56 : 945.52 = 436.80 : x
  2. Step 2: Convert to fraction form
    685.56/945.52 = 436.80/x
  3. Step 3: Cross multiply
    685.56x = 945.52 × 436.80
  4. Step 4: Simplify right side
    685.56x = 413,003.14
  5. Step 5: Solve for x
    x = 413,003.14/685.56
  6. Step 6: Final answer
    x = 602.43

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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.