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Finding the Fourth Proportional to 463.32, 635.85 and 419.58

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Solution

The fourth proportional to 463.32, 635.85 and 419.58 is: 575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 635.85 = 419.58 : x
  2. Step 2: Convert to fraction form
    463.32/635.85 = 419.58/x
  3. Step 3: Cross multiply
    463.32x = 635.85 × 419.58
  4. Step 4: Simplify right side
    463.32x = 266,789.94
  5. Step 5: Solve for x
    x = 266,789.94/463.32
  6. Step 6: Final answer
    x = 575.82

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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.