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Finding the Fourth Proportional to 463.10, 635.63 and 415.94

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Solution

The fourth proportional to 463.10, 635.63 and 415.94 is: 570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.10 : 635.63 = 415.94 : x
  2. Step 2: Convert to fraction form
    463.10/635.63 = 415.94/x
  3. Step 3: Cross multiply
    463.10x = 635.63 × 415.94
  4. Step 4: Simplify right side
    463.10x = 264,378.68
  5. Step 5: Solve for x
    x = 264,378.68/463.10
  6. Step 6: Final answer
    x = 570.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.