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Finding the Fourth Proportional to 548.86, 756.85 and 470.43

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Solution

The fourth proportional to 548.86, 756.85 and 470.43 is: 648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.86 : 756.85 = 470.43 : x
  2. Step 2: Convert to fraction form
    548.86/756.85 = 470.43/x
  3. Step 3: Cross multiply
    548.86x = 756.85 × 470.43
  4. Step 4: Simplify right side
    548.86x = 356,044.95
  5. Step 5: Solve for x
    x = 356,044.95/548.86
  6. Step 6: Final answer
    x = 648.70

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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.