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Finding the Fourth Proportional to 664.65, 916.27 and 467.55

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Solution

The fourth proportional to 664.65, 916.27 and 467.55 is: 644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.65 : 916.27 = 467.55 : x
  2. Step 2: Convert to fraction form
    664.65/916.27 = 467.55/x
  3. Step 3: Cross multiply
    664.65x = 916.27 × 467.55
  4. Step 4: Simplify right side
    664.65x = 428,400.29
  5. Step 5: Solve for x
    x = 428,400.29/664.65
  6. Step 6: Final answer
    x = 644.55

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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.