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Finding the Fourth Proportional to 427.82, 645.30 and 402.53

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Solution

The fourth proportional to 427.82, 645.30 and 402.53 is: 607.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.82 : 645.30 = 402.53 : x
  2. Step 2: Convert to fraction form
    427.82/645.30 = 402.53/x
  3. Step 3: Cross multiply
    427.82x = 645.30 × 402.53
  4. Step 4: Simplify right side
    427.82x = 259,749.38
  5. Step 5: Solve for x
    x = 259,749.38/427.82
  6. Step 6: Final answer
    x = 607.15

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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.