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Finding the Fourth Proportional to 417.60, 622.08 and 380.16

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Solution

The fourth proportional to 417.60, 622.08 and 380.16 is: 566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.60 : 622.08 = 380.16 : x
  2. Step 2: Convert to fraction form
    417.60/622.08 = 380.16/x
  3. Step 3: Cross multiply
    417.60x = 622.08 × 380.16
  4. Step 4: Simplify right side
    417.60x = 236,489.93
  5. Step 5: Solve for x
    x = 236,489.93/417.60
  6. Step 6: Final answer
    x = 566.31

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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.