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Finding the Fourth Proportional to 946.74, 1,307 and 667.82

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Solution

The fourth proportional to 946.74, 1,307 and 667.82 is: 921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.74 : 1,307 = 667.82 : x
  2. Step 2: Convert to fraction form
    946.74/1,307 = 667.82/x
  3. Step 3: Cross multiply
    946.74x = 1,307 × 667.82
  4. Step 4: Simplify right side
    946.74x = 872,840.74
  5. Step 5: Solve for x
    x = 872,840.74/946.74
  6. Step 6: Final answer
    x = 921.94

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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.