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Finding the Fourth Proportional to 550.41, 756.47 and 487.86

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Solution

The fourth proportional to 550.41, 756.47 and 487.86 is: 670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.41 : 756.47 = 487.86 : x
  2. Step 2: Convert to fraction form
    550.41/756.47 = 487.86/x
  3. Step 3: Cross multiply
    550.41x = 756.47 × 487.86
  4. Step 4: Simplify right side
    550.41x = 369,049.01
  5. Step 5: Solve for x
    x = 369,049.01/550.41
  6. Step 6: Final answer
    x = 670.50

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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.