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Finding the Fourth Proportional to 664.10, 916.33 and 506.46

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Solution

The fourth proportional to 664.10, 916.33 and 506.46 is: 698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.10 : 916.33 = 506.46 : x
  2. Step 2: Convert to fraction form
    664.10/916.33 = 506.46/x
  3. Step 3: Cross multiply
    664.10x = 916.33 × 506.46
  4. Step 4: Simplify right side
    664.10x = 464,084.49
  5. Step 5: Solve for x
    x = 464,084.49/664.10
  6. Step 6: Final answer
    x = 698.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.