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Finding the Fourth Proportional to 646.36, 885.96 and 637.25

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Solution

The fourth proportional to 646.36, 885.96 and 637.25 is: 873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.36 : 885.96 = 637.25 : x
  2. Step 2: Convert to fraction form
    646.36/885.96 = 637.25/x
  3. Step 3: Cross multiply
    646.36x = 885.96 × 637.25
  4. Step 4: Simplify right side
    646.36x = 564,578.49
  5. Step 5: Solve for x
    x = 564,578.49/646.36
  6. Step 6: Final answer
    x = 873.47

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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.