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Finding the Fourth Proportional to 694.48, 1,044.28 and 642

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Solution

The fourth proportional to 694.48, 1,044.28 and 642 is: 965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.48 : 1,044.28 = 642 : x
  2. Step 2: Convert to fraction form
    694.48/1,044.28 = 642/x
  3. Step 3: Cross multiply
    694.48x = 1,044.28 × 642
  4. Step 4: Simplify right side
    694.48x = 670,427.76
  5. Step 5: Solve for x
    x = 670,427.76/694.48
  6. Step 6: Final answer
    x = 965.37

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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.