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Finding the Fourth Proportional to 664.32, 916.87 and 478.43

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Solution

The fourth proportional to 664.32, 916.87 and 478.43 is: 660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.32 : 916.87 = 478.43 : x
  2. Step 2: Convert to fraction form
    664.32/916.87 = 478.43/x
  3. Step 3: Cross multiply
    664.32x = 916.87 × 478.43
  4. Step 4: Simplify right side
    664.32x = 438,658.11
  5. Step 5: Solve for x
    x = 438,658.11/664.32
  6. Step 6: Final answer
    x = 660.31

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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.