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Finding the Fourth Proportional to 682.16, 934.32 and 642.26

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Solution

The fourth proportional to 682.16, 934.32 and 642.26 is: 879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.16 : 934.32 = 642.26 : x
  2. Step 2: Convert to fraction form
    682.16/934.32 = 642.26/x
  3. Step 3: Cross multiply
    682.16x = 934.32 × 642.26
  4. Step 4: Simplify right side
    682.16x = 600,076.36
  5. Step 5: Solve for x
    x = 600,076.36/682.16
  6. Step 6: Final answer
    x = 879.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.