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Finding the Fourth Proportional to 461.01, 635.87 and 313.39

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Solution

The fourth proportional to 461.01, 635.87 and 313.39 is: 432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.01 : 635.87 = 313.39 : x
  2. Step 2: Convert to fraction form
    461.01/635.87 = 313.39/x
  3. Step 3: Cross multiply
    461.01x = 635.87 × 313.39
  4. Step 4: Simplify right side
    461.01x = 199,275.30
  5. Step 5: Solve for x
    x = 199,275.30/461.01
  6. Step 6: Final answer
    x = 432.26

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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.