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Finding the Fourth Proportional to 425.48, 634.77 and 415.72

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Solution

The fourth proportional to 425.48, 634.77 and 415.72 is: 620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.48 : 634.77 = 415.72 : x
  2. Step 2: Convert to fraction form
    425.48/634.77 = 415.72/x
  3. Step 3: Cross multiply
    425.48x = 634.77 × 415.72
  4. Step 4: Simplify right side
    425.48x = 263,886.58
  5. Step 5: Solve for x
    x = 263,886.58/425.48
  6. Step 6: Final answer
    x = 620.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.