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Finding the Fourth Proportional to 664.49, 916.80 and 384.72

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Solution

The fourth proportional to 664.49, 916.80 and 384.72 is: 530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.49 : 916.80 = 384.72 : x
  2. Step 2: Convert to fraction form
    664.49/916.80 = 384.72/x
  3. Step 3: Cross multiply
    664.49x = 916.80 × 384.72
  4. Step 4: Simplify right side
    664.49x = 352,711.30
  5. Step 5: Solve for x
    x = 352,711.30/664.49
  6. Step 6: Final answer
    x = 530.80

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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.