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Finding the Fourth Proportional to 453.20, 683.74 and 430.41

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Solution

The fourth proportional to 453.20, 683.74 and 430.41 is: 649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.20 : 683.74 = 430.41 : x
  2. Step 2: Convert to fraction form
    453.20/683.74 = 430.41/x
  3. Step 3: Cross multiply
    453.20x = 683.74 × 430.41
  4. Step 4: Simplify right side
    453.20x = 294,291.64
  5. Step 5: Solve for x
    x = 294,291.64/453.20
  6. Step 6: Final answer
    x = 649.37

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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.