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Finding the Fourth Proportional to 664.14, 916.10 and 431.26

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Solution

The fourth proportional to 664.14, 916.10 and 431.26 is: 594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.14 : 916.10 = 431.26 : x
  2. Step 2: Convert to fraction form
    664.14/916.10 = 431.26/x
  3. Step 3: Cross multiply
    664.14x = 916.10 × 431.26
  4. Step 4: Simplify right side
    664.14x = 395,077.29
  5. Step 5: Solve for x
    x = 395,077.29/664.14
  6. Step 6: Final answer
    x = 594.87

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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.