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Finding the Fourth Proportional to 946.57, 1,307.09 and 636.97

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Solution

The fourth proportional to 946.57, 1,307.09 and 636.97 is: 879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.57 : 1,307.09 = 636.97 : x
  2. Step 2: Convert to fraction form
    946.57/1,307.09 = 636.97/x
  3. Step 3: Cross multiply
    946.57x = 1,307.09 × 636.97
  4. Step 4: Simplify right side
    946.57x = 832,575.44
  5. Step 5: Solve for x
    x = 832,575.44/946.57
  6. Step 6: Final answer
    x = 879.57

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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.