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Finding the Fourth Proportional to 664.22, 916.17 and 609.14

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Solution

The fourth proportional to 664.22, 916.17 and 609.14 is: 840.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.22 : 916.17 = 609.14 : x
  2. Step 2: Convert to fraction form
    664.22/916.17 = 609.14/x
  3. Step 3: Cross multiply
    664.22x = 916.17 × 609.14
  4. Step 4: Simplify right side
    664.22x = 558,075.79
  5. Step 5: Solve for x
    x = 558,075.79/664.22
  6. Step 6: Final answer
    x = 840.20

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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.