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Finding the Fourth Proportional to 685.05, 950.23 and 661.74

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Solution

The fourth proportional to 685.05, 950.23 and 661.74 is: 917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.05 : 950.23 = 661.74 : x
  2. Step 2: Convert to fraction form
    685.05/950.23 = 661.74/x
  3. Step 3: Cross multiply
    685.05x = 950.23 × 661.74
  4. Step 4: Simplify right side
    685.05x = 628,803.55
  5. Step 5: Solve for x
    x = 628,803.55/685.05
  6. Step 6: Final answer
    x = 917.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.