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Finding the Fourth Proportional to 945.58, 1,304.82 and 596.20

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Solution

The fourth proportional to 945.58, 1,304.82 and 596.20 is: 822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.58 : 1,304.82 = 596.20 : x
  2. Step 2: Convert to fraction form
    945.58/1,304.82 = 596.20/x
  3. Step 3: Cross multiply
    945.58x = 1,304.82 × 596.20
  4. Step 4: Simplify right side
    945.58x = 777,933.68
  5. Step 5: Solve for x
    x = 777,933.68/945.58
  6. Step 6: Final answer
    x = 822.71

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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.