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Finding the Fourth Proportional to 694.74, 1,042.23 and 420.50

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Solution

The fourth proportional to 694.74, 1,042.23 and 420.50 is: 630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.74 : 1,042.23 = 420.50 : x
  2. Step 2: Convert to fraction form
    694.74/1,042.23 = 420.50/x
  3. Step 3: Cross multiply
    694.74x = 1,042.23 × 420.50
  4. Step 4: Simplify right side
    694.74x = 438,252.50
  5. Step 5: Solve for x
    x = 438,252.50/694.74
  6. Step 6: Final answer
    x = 630.82

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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.