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Finding the Fourth Proportional to 664.30, 916.14 and 401.86

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Solution

The fourth proportional to 664.30, 916.14 and 401.86 is: 554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.30 : 916.14 = 401.86 : x
  2. Step 2: Convert to fraction form
    664.30/916.14 = 401.86/x
  3. Step 3: Cross multiply
    664.30x = 916.14 × 401.86
  4. Step 4: Simplify right side
    664.30x = 368,160.02
  5. Step 5: Solve for x
    x = 368,160.02/664.30
  6. Step 6: Final answer
    x = 554.21

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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.