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Finding the Fourth Proportional to 548.52, 818.41 and 509.80

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Solution

The fourth proportional to 548.52, 818.41 and 509.80 is: 760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.52 : 818.41 = 509.80 : x
  2. Step 2: Convert to fraction form
    548.52/818.41 = 509.80/x
  3. Step 3: Cross multiply
    548.52x = 818.41 × 509.80
  4. Step 4: Simplify right side
    548.52x = 417,225.42
  5. Step 5: Solve for x
    x = 417,225.42/548.52
  6. Step 6: Final answer
    x = 760.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.