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Finding the Fourth Proportional to 435.98, 657.43 and 427.77

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Solution

The fourth proportional to 435.98, 657.43 and 427.77 is: 645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.98 : 657.43 = 427.77 : x
  2. Step 2: Convert to fraction form
    435.98/657.43 = 427.77/x
  3. Step 3: Cross multiply
    435.98x = 657.43 × 427.77
  4. Step 4: Simplify right side
    435.98x = 281,227.76
  5. Step 5: Solve for x
    x = 281,227.76/435.98
  6. Step 6: Final answer
    x = 645.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.