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Finding the Fourth Proportional to 664.33, 916.71 and 384.52

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Solution

The fourth proportional to 664.33, 916.71 and 384.52 is: 530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.33 : 916.71 = 384.52 : x
  2. Step 2: Convert to fraction form
    664.33/916.71 = 384.52/x
  3. Step 3: Cross multiply
    664.33x = 916.71 × 384.52
  4. Step 4: Simplify right side
    664.33x = 352,493.33
  5. Step 5: Solve for x
    x = 352,493.33/664.33
  6. Step 6: Final answer
    x = 530.60

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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.