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Finding the Fourth Proportional to 926.46, 1,278.54 and 506.82

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Solution

The fourth proportional to 926.46, 1,278.54 and 506.82 is: 699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.46 : 1,278.54 = 506.82 : x
  2. Step 2: Convert to fraction form
    926.46/1,278.54 = 506.82/x
  3. Step 3: Cross multiply
    926.46x = 1,278.54 × 506.82
  4. Step 4: Simplify right side
    926.46x = 647,989.64
  5. Step 5: Solve for x
    x = 647,989.64/926.46
  6. Step 6: Final answer
    x = 699.43

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Double scale
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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.