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Finding the Fourth Proportional to 926.33, 1,278.36 and 506.70

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Solution

The fourth proportional to 926.33, 1,278.36 and 506.70 is: 699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.33 : 1,278.36 = 506.70 : x
  2. Step 2: Convert to fraction form
    926.33/1,278.36 = 506.70/x
  3. Step 3: Cross multiply
    926.33x = 1,278.36 × 506.70
  4. Step 4: Simplify right side
    926.33x = 647,745.01
  5. Step 5: Solve for x
    x = 647,745.01/926.33
  6. Step 6: Final answer
    x = 699.26

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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.