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Finding the Fourth Proportional to 460.57, 638.88 and 435.97

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Solution

The fourth proportional to 460.57, 638.88 and 435.97 is: 604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.57 : 638.88 = 435.97 : x
  2. Step 2: Convert to fraction form
    460.57/638.88 = 435.97/x
  3. Step 3: Cross multiply
    460.57x = 638.88 × 435.97
  4. Step 4: Simplify right side
    460.57x = 278,532.51
  5. Step 5: Solve for x
    x = 278,532.51/460.57
  6. Step 6: Final answer
    x = 604.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.