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Finding the Fourth Proportional to 461.68, 635.16 and 450.74

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Solution

The fourth proportional to 461.68, 635.16 and 450.74 is: 620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.68 : 635.16 = 450.74 : x
  2. Step 2: Convert to fraction form
    461.68/635.16 = 450.74/x
  3. Step 3: Cross multiply
    461.68x = 635.16 × 450.74
  4. Step 4: Simplify right side
    461.68x = 286,292.02
  5. Step 5: Solve for x
    x = 286,292.02/461.68
  6. Step 6: Final answer
    x = 620.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.