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Finding the Fourth Proportional to 664.06, 916.46 and 402.07

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Solution

The fourth proportional to 664.06, 916.46 and 402.07 is: 554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.06 : 916.46 = 402.07 : x
  2. Step 2: Convert to fraction form
    664.06/916.46 = 402.07/x
  3. Step 3: Cross multiply
    664.06x = 916.46 × 402.07
  4. Step 4: Simplify right side
    664.06x = 368,481.07
  5. Step 5: Solve for x
    x = 368,481.07/664.06
  6. Step 6: Final answer
    x = 554.89

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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.