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Finding the Fourth Proportional to 461.84, 689.26 and 450.92

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Solution

The fourth proportional to 461.84, 689.26 and 450.92 is: 672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.84 : 689.26 = 450.92 : x
  2. Step 2: Convert to fraction form
    461.84/689.26 = 450.92/x
  3. Step 3: Cross multiply
    461.84x = 689.26 × 450.92
  4. Step 4: Simplify right side
    461.84x = 310,801.12
  5. Step 5: Solve for x
    x = 310,801.12/461.84
  6. Step 6: Final answer
    x = 672.96

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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.