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Finding the Fourth Proportional to 668.29, 921.39 and 431.84

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Solution

The fourth proportional to 668.29, 921.39 and 431.84 is: 595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.29 : 921.39 = 431.84 : x
  2. Step 2: Convert to fraction form
    668.29/921.39 = 431.84/x
  3. Step 3: Cross multiply
    668.29x = 921.39 × 431.84
  4. Step 4: Simplify right side
    668.29x = 397,888.45
  5. Step 5: Solve for x
    x = 397,888.45/668.29
  6. Step 6: Final answer
    x = 595.39

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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.