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Finding the Fourth Proportional to 1,394.94, 2,092.37 and 354.94

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Solution

The fourth proportional to 1,394.94, 2,092.37 and 354.94 is: 532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.94 : 2,092.37 = 354.94 : x
  2. Step 2: Convert to fraction form
    1,394.94/2,092.37 = 354.94/x
  3. Step 3: Cross multiply
    1,394.94x = 2,092.37 × 354.94
  4. Step 4: Simplify right side
    1,394.94x = 742,665.46
  5. Step 5: Solve for x
    x = 742,665.46/1,394.94
  6. Step 6: Final answer
    x = 532.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.