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Finding the Fourth Proportional to 450.52, 670.48 and 449.17

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Solution

The fourth proportional to 450.52, 670.48 and 449.17 is: 668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.52 : 670.48 = 449.17 : x
  2. Step 2: Convert to fraction form
    450.52/670.48 = 449.17/x
  3. Step 3: Cross multiply
    450.52x = 670.48 × 449.17
  4. Step 4: Simplify right side
    450.52x = 301,156.70
  5. Step 5: Solve for x
    x = 301,156.70/450.52
  6. Step 6: Final answer
    x = 668.47

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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.