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Finding the Fourth Proportional to 548.15, 823.23 and 457.02

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Solution

The fourth proportional to 548.15, 823.23 and 457.02 is: 686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.15 : 823.23 = 457.02 : x
  2. Step 2: Convert to fraction form
    548.15/823.23 = 457.02/x
  3. Step 3: Cross multiply
    548.15x = 823.23 × 457.02
  4. Step 4: Simplify right side
    548.15x = 376,232.57
  5. Step 5: Solve for x
    x = 376,232.57/548.15
  6. Step 6: Final answer
    x = 686.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.