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Finding the Fourth Proportional to 664.49, 916.91 and 412.29

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Solution

The fourth proportional to 664.49, 916.91 and 412.29 is: 568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.49 : 916.91 = 412.29 : x
  2. Step 2: Convert to fraction form
    664.49/916.91 = 412.29/x
  3. Step 3: Cross multiply
    664.49x = 916.91 × 412.29
  4. Step 4: Simplify right side
    664.49x = 378,030.76
  5. Step 5: Solve for x
    x = 378,030.76/664.49
  6. Step 6: Final answer
    x = 568.91

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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.