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Finding the Fourth Proportional to 461.55, 637.73 and 314.84

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Solution

The fourth proportional to 461.55, 637.73 and 314.84 is: 435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.55 : 637.73 = 314.84 : x
  2. Step 2: Convert to fraction form
    461.55/637.73 = 314.84/x
  3. Step 3: Cross multiply
    461.55x = 637.73 × 314.84
  4. Step 4: Simplify right side
    461.55x = 200,778.15
  5. Step 5: Solve for x
    x = 200,778.15/461.55
  6. Step 6: Final answer
    x = 435.01

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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.