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Finding the Fourth Proportional to 926.38, 1,382.43 and 829.18

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Solution

The fourth proportional to 926.38, 1,382.43 and 829.18 is: 1,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.38 : 1,382.43 = 829.18 : x
  2. Step 2: Convert to fraction form
    926.38/1,382.43 = 829.18/x
  3. Step 3: Cross multiply
    926.38x = 1,382.43 × 829.18
  4. Step 4: Simplify right side
    926.38x = 1,146,279.16
  5. Step 5: Solve for x
    x = 1,146,279.16/926.38
  6. Step 6: Final answer
    x = 1,237.37

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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.