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Finding the Fourth Proportional to 680.58, 938.57 and 431.64

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Solution

The fourth proportional to 680.58, 938.57 and 431.64 is: 595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.58 : 938.57 = 431.64 : x
  2. Step 2: Convert to fraction form
    680.58/938.57 = 431.64/x
  3. Step 3: Cross multiply
    680.58x = 938.57 × 431.64
  4. Step 4: Simplify right side
    680.58x = 405,122.20
  5. Step 5: Solve for x
    x = 405,122.20/680.58
  6. Step 6: Final answer
    x = 595.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.