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Finding the Fourth Proportional to 460.77, 635.38 and 342.55

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Solution

The fourth proportional to 460.77, 635.38 and 342.55 is: 472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.77 : 635.38 = 342.55 : x
  2. Step 2: Convert to fraction form
    460.77/635.38 = 342.55/x
  3. Step 3: Cross multiply
    460.77x = 635.38 × 342.55
  4. Step 4: Simplify right side
    460.77x = 217,650.42
  5. Step 5: Solve for x
    x = 217,650.42/460.77
  6. Step 6: Final answer
    x = 472.36

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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.