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Finding the Fourth Proportional to 674.66, 925.22 and 646.59

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Solution

The fourth proportional to 674.66, 925.22 and 646.59 is: 886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.66 : 925.22 = 646.59 : x
  2. Step 2: Convert to fraction form
    674.66/925.22 = 646.59/x
  3. Step 3: Cross multiply
    674.66x = 925.22 × 646.59
  4. Step 4: Simplify right side
    674.66x = 598,243.09
  5. Step 5: Solve for x
    x = 598,243.09/674.66
  6. Step 6: Final answer
    x = 886.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.