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Finding the Fourth Proportional to 664.13, 914.52 and 477.29

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Solution

The fourth proportional to 664.13, 914.52 and 477.29 is: 657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.13 : 914.52 = 477.29 : x
  2. Step 2: Convert to fraction form
    664.13/914.52 = 477.29/x
  3. Step 3: Cross multiply
    664.13x = 914.52 × 477.29
  4. Step 4: Simplify right side
    664.13x = 436,495.33
  5. Step 5: Solve for x
    x = 436,495.33/664.13
  6. Step 6: Final answer
    x = 657.24

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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.