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Finding the Fourth Proportional to 540.05, 812.82 and 403.82

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Solution

The fourth proportional to 540.05, 812.82 and 403.82 is: 607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.05 : 812.82 = 403.82 : x
  2. Step 2: Convert to fraction form
    540.05/812.82 = 403.82/x
  3. Step 3: Cross multiply
    540.05x = 812.82 × 403.82
  4. Step 4: Simplify right side
    540.05x = 328,228.91
  5. Step 5: Solve for x
    x = 328,228.91/540.05
  6. Step 6: Final answer
    x = 607.78

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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.