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Finding the Fourth Proportional to 511.71, 703.44 and 440.55

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Solution

The fourth proportional to 511.71, 703.44 and 440.55 is: 605.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.71 : 703.44 = 440.55 : x
  2. Step 2: Convert to fraction form
    511.71/703.44 = 440.55/x
  3. Step 3: Cross multiply
    511.71x = 703.44 × 440.55
  4. Step 4: Simplify right side
    511.71x = 309,898.29
  5. Step 5: Solve for x
    x = 309,898.29/511.71
  6. Step 6: Final answer
    x = 605.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.