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Finding the Fourth Proportional to 685.42, 945.82 and 433.04

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Solution

The fourth proportional to 685.42, 945.82 and 433.04 is: 597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.42 : 945.82 = 433.04 : x
  2. Step 2: Convert to fraction form
    685.42/945.82 = 433.04/x
  3. Step 3: Cross multiply
    685.42x = 945.82 × 433.04
  4. Step 4: Simplify right side
    685.42x = 409,577.89
  5. Step 5: Solve for x
    x = 409,577.89/685.42
  6. Step 6: Final answer
    x = 597.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.