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Finding the Fourth Proportional to 685.09, 945.15 and 527.44

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Solution

The fourth proportional to 685.09, 945.15 and 527.44 is: 727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.09 : 945.15 = 527.44 : x
  2. Step 2: Convert to fraction form
    685.09/945.15 = 527.44/x
  3. Step 3: Cross multiply
    685.09x = 945.15 × 527.44
  4. Step 4: Simplify right side
    685.09x = 498,509.92
  5. Step 5: Solve for x
    x = 498,509.92/685.09
  6. Step 6: Final answer
    x = 727.66

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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.