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Finding the Fourth Proportional to 664.07, 916.50 and 384.32

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Solution

The fourth proportional to 664.07, 916.50 and 384.32 is: 530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.07 : 916.50 = 384.32 : x
  2. Step 2: Convert to fraction form
    664.07/916.50 = 384.32/x
  3. Step 3: Cross multiply
    664.07x = 916.50 × 384.32
  4. Step 4: Simplify right side
    664.07x = 352,224.70
  5. Step 5: Solve for x
    x = 352,224.70/664.07
  6. Step 6: Final answer
    x = 530.41

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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.