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Finding the Fourth Proportional to 664.56, 916.96 and 384.80

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Solution

The fourth proportional to 664.56, 916.96 and 384.80 is: 530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.56 : 916.96 = 384.80 : x
  2. Step 2: Convert to fraction form
    664.56/916.96 = 384.80/x
  3. Step 3: Cross multiply
    664.56x = 916.96 × 384.80
  4. Step 4: Simplify right side
    664.56x = 352,846.21
  5. Step 5: Solve for x
    x = 352,846.21/664.56
  6. Step 6: Final answer
    x = 530.95

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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.