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Finding the Fourth Proportional to 685.65, 947.21 and 633.81

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Solution

The fourth proportional to 685.65, 947.21 and 633.81 is: 875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.65 : 947.21 = 633.81 : x
  2. Step 2: Convert to fraction form
    685.65/947.21 = 633.81/x
  3. Step 3: Cross multiply
    685.65x = 947.21 × 633.81
  4. Step 4: Simplify right side
    685.65x = 600,351.17
  5. Step 5: Solve for x
    x = 600,351.17/685.65
  6. Step 6: Final answer
    x = 875.59

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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.