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Finding the Fourth Proportional to 694.85, 1,042.21 and 420.86

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Solution

The fourth proportional to 694.85, 1,042.21 and 420.86 is: 631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.85 : 1,042.21 = 420.86 : x
  2. Step 2: Convert to fraction form
    694.85/1,042.21 = 420.86/x
  3. Step 3: Cross multiply
    694.85x = 1,042.21 × 420.86
  4. Step 4: Simplify right side
    694.85x = 438,627.63
  5. Step 5: Solve for x
    x = 438,627.63/694.85
  6. Step 6: Final answer
    x = 631.26

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