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Finding the Fourth Proportional to 541.42, 810.26 and 442.78

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Solution

The fourth proportional to 541.42, 810.26 and 442.78 is: 662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.42 : 810.26 = 442.78 : x
  2. Step 2: Convert to fraction form
    541.42/810.26 = 442.78/x
  3. Step 3: Cross multiply
    541.42x = 810.26 × 442.78
  4. Step 4: Simplify right side
    541.42x = 358,766.92
  5. Step 5: Solve for x
    x = 358,766.92/541.42
  6. Step 6: Final answer
    x = 662.64

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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.