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Finding the Fourth Proportional to 548.47, 818.73 and 507.83

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Solution

The fourth proportional to 548.47, 818.73 and 507.83 is: 758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.47 : 818.73 = 507.83 : x
  2. Step 2: Convert to fraction form
    548.47/818.73 = 507.83/x
  3. Step 3: Cross multiply
    548.47x = 818.73 × 507.83
  4. Step 4: Simplify right side
    548.47x = 415,773.57
  5. Step 5: Solve for x
    x = 415,773.57/548.47
  6. Step 6: Final answer
    x = 758.06

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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.