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Finding the Fourth Proportional to 685.44, 945.16 and 464.01

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Solution

The fourth proportional to 685.44, 945.16 and 464.01 is: 639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.44 : 945.16 = 464.01 : x
  2. Step 2: Convert to fraction form
    685.44/945.16 = 464.01/x
  3. Step 3: Cross multiply
    685.44x = 945.16 × 464.01
  4. Step 4: Simplify right side
    685.44x = 438,562.53
  5. Step 5: Solve for x
    x = 438,562.53/685.44
  6. Step 6: Final answer
    x = 639.83

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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.