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Finding the Fourth Proportional to 457.21, 687.26 and 397.09

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Solution

The fourth proportional to 457.21, 687.26 and 397.09 is: 596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.21 : 687.26 = 397.09 : x
  2. Step 2: Convert to fraction form
    457.21/687.26 = 397.09/x
  3. Step 3: Cross multiply
    457.21x = 687.26 × 397.09
  4. Step 4: Simplify right side
    457.21x = 272,904.07
  5. Step 5: Solve for x
    x = 272,904.07/457.21
  6. Step 6: Final answer
    x = 596.89

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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.