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Finding the Fourth Proportional to 685.11, 945.43 and 420.00

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Solution

The fourth proportional to 685.11, 945.43 and 420.00 is: 579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.11 : 945.43 = 420.00 : x
  2. Step 2: Convert to fraction form
    685.11/945.43 = 420.00/x
  3. Step 3: Cross multiply
    685.11x = 945.43 × 420.00
  4. Step 4: Simplify right side
    685.11x = 397,073.77
  5. Step 5: Solve for x
    x = 397,073.77/685.11
  6. Step 6: Final answer
    x = 579.58

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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.