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Finding the Fourth Proportional to 926.82, 1,395.71 and 806.54

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Solution

The fourth proportional to 926.82, 1,395.71 and 806.54 is: 1,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.82 : 1,395.71 = 806.54 : x
  2. Step 2: Convert to fraction form
    926.82/1,395.71 = 806.54/x
  3. Step 3: Cross multiply
    926.82x = 1,395.71 × 806.54
  4. Step 4: Simplify right side
    926.82x = 1,125,692.49
  5. Step 5: Solve for x
    x = 1,125,692.49/926.82
  6. Step 6: Final answer
    x = 1,214.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.