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Finding the Fourth Proportional to 664.17, 916.56 and 398.63

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Solution

The fourth proportional to 664.17, 916.56 and 398.63 is: 550.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.17 : 916.56 = 398.63 : x
  2. Step 2: Convert to fraction form
    664.17/916.56 = 398.63/x
  3. Step 3: Cross multiply
    664.17x = 916.56 × 398.63
  4. Step 4: Simplify right side
    664.17x = 365,363.73
  5. Step 5: Solve for x
    x = 365,363.73/664.17
  6. Step 6: Final answer
    x = 550.11

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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.