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Finding the Fourth Proportional to 454.55, 622.91 and 410.81

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Solution

The fourth proportional to 454.55, 622.91 and 410.81 is: 562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.55 : 622.91 = 410.81 : x
  2. Step 2: Convert to fraction form
    454.55/622.91 = 410.81/x
  3. Step 3: Cross multiply
    454.55x = 622.91 × 410.81
  4. Step 4: Simplify right side
    454.55x = 255,895.07
  5. Step 5: Solve for x
    x = 255,895.07/454.55
  6. Step 6: Final answer
    x = 562.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.