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Finding the Fourth Proportional to 685.29, 945.36 and 635.88

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Solution

The fourth proportional to 685.29, 945.36 and 635.88 is: 877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.29 : 945.36 = 635.88 : x
  2. Step 2: Convert to fraction form
    685.29/945.36 = 635.88/x
  3. Step 3: Cross multiply
    685.29x = 945.36 × 635.88
  4. Step 4: Simplify right side
    685.29x = 601,135.52
  5. Step 5: Solve for x
    x = 601,135.52/685.29
  6. Step 6: Final answer
    x = 877.20

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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.