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Finding the Fourth Proportional to 453.56, 626.10 and 406.88

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Solution

The fourth proportional to 453.56, 626.10 and 406.88 is: 561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.56 : 626.10 = 406.88 : x
  2. Step 2: Convert to fraction form
    453.56/626.10 = 406.88/x
  3. Step 3: Cross multiply
    453.56x = 626.10 × 406.88
  4. Step 4: Simplify right side
    453.56x = 254,747.57
  5. Step 5: Solve for x
    x = 254,747.57/453.56
  6. Step 6: Final answer
    x = 561.66

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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.