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Finding the Fourth Proportional to 453.82, 681.05 and 420.03

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Solution

The fourth proportional to 453.82, 681.05 and 420.03 is: 630.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.82 : 681.05 = 420.03 : x
  2. Step 2: Convert to fraction form
    453.82/681.05 = 420.03/x
  3. Step 3: Cross multiply
    453.82x = 681.05 × 420.03
  4. Step 4: Simplify right side
    453.82x = 286,061.43
  5. Step 5: Solve for x
    x = 286,061.43/453.82
  6. Step 6: Final answer
    x = 630.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.