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Finding the Fourth Proportional to 664.64, 916.34 and 428.16

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Solution

The fourth proportional to 664.64, 916.34 and 428.16 is: 590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.64 : 916.34 = 428.16 : x
  2. Step 2: Convert to fraction form
    664.64/916.34 = 428.16/x
  3. Step 3: Cross multiply
    664.64x = 916.34 × 428.16
  4. Step 4: Simplify right side
    664.64x = 392,340.13
  5. Step 5: Solve for x
    x = 392,340.13/664.64
  6. Step 6: Final answer
    x = 590.30

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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.