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Finding the Fourth Proportional to 1,394.76, 2,092.11 and 340.58

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Solution

The fourth proportional to 1,394.76, 2,092.11 and 340.58 is: 510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.76 : 2,092.11 = 340.58 : x
  2. Step 2: Convert to fraction form
    1,394.76/2,092.11 = 340.58/x
  3. Step 3: Cross multiply
    1,394.76x = 2,092.11 × 340.58
  4. Step 4: Simplify right side
    1,394.76x = 712,523.89
  5. Step 5: Solve for x
    x = 712,523.89/1,394.76
  6. Step 6: Final answer
    x = 510.86

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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.