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Finding the Fourth Proportional to 664.70, 916.97 and 455.10

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Solution

The fourth proportional to 664.70, 916.97 and 455.10 is: 627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.70 : 916.97 = 455.10 : x
  2. Step 2: Convert to fraction form
    664.70/916.97 = 455.10/x
  3. Step 3: Cross multiply
    664.70x = 916.97 × 455.10
  4. Step 4: Simplify right side
    664.70x = 417,310.77
  5. Step 5: Solve for x
    x = 417,310.77/664.70
  6. Step 6: Final answer
    x = 627.82

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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.