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Finding the Fourth Proportional to 541.78, 810.84 and 450.66

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Solution

The fourth proportional to 541.78, 810.84 and 450.66 is: 674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.78 : 810.84 = 450.66 : x
  2. Step 2: Convert to fraction form
    541.78/810.84 = 450.66/x
  3. Step 3: Cross multiply
    541.78x = 810.84 × 450.66
  4. Step 4: Simplify right side
    541.78x = 365,410.23
  5. Step 5: Solve for x
    x = 365,410.23/541.78
  6. Step 6: Final answer
    x = 674.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.