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Finding the Fourth Proportional to 453.09, 683.10 and 421.77

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Solution

The fourth proportional to 453.09, 683.10 and 421.77 is: 635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.09 : 683.10 = 421.77 : x
  2. Step 2: Convert to fraction form
    453.09/683.10 = 421.77/x
  3. Step 3: Cross multiply
    453.09x = 683.10 × 421.77
  4. Step 4: Simplify right side
    453.09x = 288,111.09
  5. Step 5: Solve for x
    x = 288,111.09/453.09
  6. Step 6: Final answer
    x = 635.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.