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Finding the Fourth Proportional to 460.40, 635.48 and 376.56

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Solution

The fourth proportional to 460.40, 635.48 and 376.56 is: 519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.40 : 635.48 = 376.56 : x
  2. Step 2: Convert to fraction form
    460.40/635.48 = 376.56/x
  3. Step 3: Cross multiply
    460.40x = 635.48 × 376.56
  4. Step 4: Simplify right side
    460.40x = 239,296.35
  5. Step 5: Solve for x
    x = 239,296.35/460.40
  6. Step 6: Final answer
    x = 519.76

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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.