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Finding the Fourth Proportional to 1,394.34, 2,091.53 and 420.45

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Solution

The fourth proportional to 1,394.34, 2,091.53 and 420.45 is: 630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.34 : 2,091.53 = 420.45 : x
  2. Step 2: Convert to fraction form
    1,394.34/2,091.53 = 420.45/x
  3. Step 3: Cross multiply
    1,394.34x = 2,091.53 × 420.45
  4. Step 4: Simplify right side
    1,394.34x = 879,383.79
  5. Step 5: Solve for x
    x = 879,383.79/1,394.34
  6. Step 6: Final answer
    x = 630.68

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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.