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Finding the Fourth Proportional to 457.40, 687.45 and 449.30

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Solution

The fourth proportional to 457.40, 687.45 and 449.30 is: 675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.40 : 687.45 = 449.30 : x
  2. Step 2: Convert to fraction form
    457.40/687.45 = 449.30/x
  3. Step 3: Cross multiply
    457.40x = 687.45 × 449.30
  4. Step 4: Simplify right side
    457.40x = 308,871.29
  5. Step 5: Solve for x
    x = 308,871.29/457.40
  6. Step 6: Final answer
    x = 675.28

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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.