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Finding the Fourth Proportional to 456.28, 681.11 and 421.99

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Solution

The fourth proportional to 456.28, 681.11 and 421.99 is: 629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.28 : 681.11 = 421.99 : x
  2. Step 2: Convert to fraction form
    456.28/681.11 = 421.99/x
  3. Step 3: Cross multiply
    456.28x = 681.11 × 421.99
  4. Step 4: Simplify right side
    456.28x = 287,421.61
  5. Step 5: Solve for x
    x = 287,421.61/456.28
  6. Step 6: Final answer
    x = 629.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.