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Finding the Fourth Proportional to 445.60, 614.16 and 409.12

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Solution

The fourth proportional to 445.60, 614.16 and 409.12 is: 563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.60 : 614.16 = 409.12 : x
  2. Step 2: Convert to fraction form
    445.60/614.16 = 409.12/x
  3. Step 3: Cross multiply
    445.60x = 614.16 × 409.12
  4. Step 4: Simplify right side
    445.60x = 251,265.14
  5. Step 5: Solve for x
    x = 251,265.14/445.60
  6. Step 6: Final answer
    x = 563.88

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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.