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Finding the Fourth Proportional to 674.21, 929.45 and 664.96

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Solution

The fourth proportional to 674.21, 929.45 and 664.96 is: 916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.21 : 929.45 = 664.96 : x
  2. Step 2: Convert to fraction form
    674.21/929.45 = 664.96/x
  3. Step 3: Cross multiply
    674.21x = 929.45 × 664.96
  4. Step 4: Simplify right side
    674.21x = 618,043.09
  5. Step 5: Solve for x
    x = 618,043.09/674.21
  6. Step 6: Final answer
    x = 916.70

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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.