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Finding the Fourth Proportional to 460.06, 634.56 and 431.74

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Solution

The fourth proportional to 460.06, 634.56 and 431.74 is: 595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.06 : 634.56 = 431.74 : x
  2. Step 2: Convert to fraction form
    460.06/634.56 = 431.74/x
  3. Step 3: Cross multiply
    460.06x = 634.56 × 431.74
  4. Step 4: Simplify right side
    460.06x = 273,964.93
  5. Step 5: Solve for x
    x = 273,964.93/460.06
  6. Step 6: Final answer
    x = 595.50

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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.