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Finding the Fourth Proportional to 926.38, 1,383.40 and 872.38

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Solution

The fourth proportional to 926.38, 1,383.40 and 872.38 is: 1,302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.38 : 1,383.40 = 872.38 : x
  2. Step 2: Convert to fraction form
    926.38/1,383.40 = 872.38/x
  3. Step 3: Cross multiply
    926.38x = 1,383.40 × 872.38
  4. Step 4: Simplify right side
    926.38x = 1,206,850.49
  5. Step 5: Solve for x
    x = 1,206,850.49/926.38
  6. Step 6: Final answer
    x = 1,302.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.