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Finding the Fourth Proportional to 685.14, 945.84 and 465.27

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Solution

The fourth proportional to 685.14, 945.84 and 465.27 is: 642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.14 : 945.84 = 465.27 : x
  2. Step 2: Convert to fraction form
    685.14/945.84 = 465.27/x
  3. Step 3: Cross multiply
    685.14x = 945.84 × 465.27
  4. Step 4: Simplify right side
    685.14x = 440,070.98
  5. Step 5: Solve for x
    x = 440,070.98/685.14
  6. Step 6: Final answer
    x = 642.31

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Double scale
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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.