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Finding the Fourth Proportional to 680.63, 938.90 and 431.51

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Solution

The fourth proportional to 680.63, 938.90 and 431.51 is: 595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.63 : 938.90 = 431.51 : x
  2. Step 2: Convert to fraction form
    680.63/938.90 = 431.51/x
  3. Step 3: Cross multiply
    680.63x = 938.90 × 431.51
  4. Step 4: Simplify right side
    680.63x = 405,142.58
  5. Step 5: Solve for x
    x = 405,142.58/680.63
  6. Step 6: Final answer
    x = 595.25

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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.