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Finding the Fourth Proportional to 668.07, 921.09 and 431.61

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Solution

The fourth proportional to 668.07, 921.09 and 431.61 is: 595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.07 : 921.09 = 431.61 : x
  2. Step 2: Convert to fraction form
    668.07/921.09 = 431.61/x
  3. Step 3: Cross multiply
    668.07x = 921.09 × 431.61
  4. Step 4: Simplify right side
    668.07x = 397,554.03
  5. Step 5: Solve for x
    x = 397,554.03/668.07
  6. Step 6: Final answer
    x = 595.08

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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.