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Finding the Fourth Proportional to 548.02, 756.64 and 421.76

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Solution

The fourth proportional to 548.02, 756.64 and 421.76 is: 582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.02 : 756.64 = 421.76 : x
  2. Step 2: Convert to fraction form
    548.02/756.64 = 421.76/x
  3. Step 3: Cross multiply
    548.02x = 756.64 × 421.76
  4. Step 4: Simplify right side
    548.02x = 319,120.49
  5. Step 5: Solve for x
    x = 319,120.49/548.02
  6. Step 6: Final answer
    x = 582.32

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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.