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Finding the Fourth Proportional to 406.64, 606.88 and 380.72

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Solution

The fourth proportional to 406.64, 606.88 and 380.72 is: 568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.64 : 606.88 = 380.72 : x
  2. Step 2: Convert to fraction form
    406.64/606.88 = 380.72/x
  3. Step 3: Cross multiply
    406.64x = 606.88 × 380.72
  4. Step 4: Simplify right side
    406.64x = 231,051.35
  5. Step 5: Solve for x
    x = 231,051.35/406.64
  6. Step 6: Final answer
    x = 568.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.