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Finding the Fourth Proportional to 680.52, 939.16 and 431.75

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Solution

The fourth proportional to 680.52, 939.16 and 431.75 is: 595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.52 : 939.16 = 431.75 : x
  2. Step 2: Convert to fraction form
    680.52/939.16 = 431.75/x
  3. Step 3: Cross multiply
    680.52x = 939.16 × 431.75
  4. Step 4: Simplify right side
    680.52x = 405,482.33
  5. Step 5: Solve for x
    x = 405,482.33/680.52
  6. Step 6: Final answer
    x = 595.84

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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.