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Finding the Fourth Proportional to 694.14, 1,042.43 and 420.77

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Solution

The fourth proportional to 694.14, 1,042.43 and 420.77 is: 631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.14 : 1,042.43 = 420.77 : x
  2. Step 2: Convert to fraction form
    694.14/1,042.43 = 420.77/x
  3. Step 3: Cross multiply
    694.14x = 1,042.43 × 420.77
  4. Step 4: Simplify right side
    694.14x = 438,615.96
  5. Step 5: Solve for x
    x = 438,615.96/694.14
  6. Step 6: Final answer
    x = 631.88

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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.