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Finding the Fourth Proportional to 550.44, 758.27 and 471.50

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Solution

The fourth proportional to 550.44, 758.27 and 471.50 is: 649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.44 : 758.27 = 471.50 : x
  2. Step 2: Convert to fraction form
    550.44/758.27 = 471.50/x
  3. Step 3: Cross multiply
    550.44x = 758.27 × 471.50
  4. Step 4: Simplify right side
    550.44x = 357,523.13
  5. Step 5: Solve for x
    x = 357,523.13/550.44
  6. Step 6: Final answer
    x = 649.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.