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Finding the Fourth Proportional to 664.09, 916.22 and 474.88

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Solution

The fourth proportional to 664.09, 916.22 and 474.88 is: 655.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.09 : 916.22 = 474.88 : x
  2. Step 2: Convert to fraction form
    664.09/916.22 = 474.88/x
  3. Step 3: Cross multiply
    664.09x = 916.22 × 474.88
  4. Step 4: Simplify right side
    664.09x = 435,089.97
  5. Step 5: Solve for x
    x = 435,089.97/664.09
  6. Step 6: Final answer
    x = 655.17

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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.