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Finding the Fourth Proportional to 454.12, 627.01 and 409.77

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Solution

The fourth proportional to 454.12, 627.01 and 409.77 is: 565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.12 : 627.01 = 409.77 : x
  2. Step 2: Convert to fraction form
    454.12/627.01 = 409.77/x
  3. Step 3: Cross multiply
    454.12x = 627.01 × 409.77
  4. Step 4: Simplify right side
    454.12x = 256,928.86
  5. Step 5: Solve for x
    x = 256,928.86/454.12
  6. Step 6: Final answer
    x = 565.78

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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.