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Finding the Fourth Proportional to 461, 686.08 and 450.74

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Solution

The fourth proportional to 461, 686.08 and 450.74 is: 670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    461 : 686.08 = 450.74 : x
  2. Step 2: Convert to fraction form
    461/686.08 = 450.74/x
  3. Step 3: Cross multiply
    461x = 686.08 × 450.74
  4. Step 4: Simplify right side
    461x = 309,243.70
  5. Step 5: Solve for x
    x = 309,243.70/461
  6. Step 6: Final answer
    x = 670.81

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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.