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Finding the Fourth Proportional to 457.24, 681.46 and 453.42

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Solution

The fourth proportional to 457.24, 681.46 and 453.42 is: 675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.24 : 681.46 = 453.42 : x
  2. Step 2: Convert to fraction form
    457.24/681.46 = 453.42/x
  3. Step 3: Cross multiply
    457.24x = 681.46 × 453.42
  4. Step 4: Simplify right side
    457.24x = 308,990.79
  5. Step 5: Solve for x
    x = 308,990.79/457.24
  6. Step 6: Final answer
    x = 675.77

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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.