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Finding the Fourth Proportional to 664.48, 916.97 and 384.69

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Solution

The fourth proportional to 664.48, 916.97 and 384.69 is: 530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.48 : 916.97 = 384.69 : x
  2. Step 2: Convert to fraction form
    664.48/916.97 = 384.69/x
  3. Step 3: Cross multiply
    664.48x = 916.97 × 384.69
  4. Step 4: Simplify right side
    664.48x = 352,752.44
  5. Step 5: Solve for x
    x = 352,752.44/664.48
  6. Step 6: Final answer
    x = 530.87

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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.