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Finding the Fourth Proportional to 548.40, 816.39 and 545.16

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Solution

The fourth proportional to 548.40, 816.39 and 545.16 is: 811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.40 : 816.39 = 545.16 : x
  2. Step 2: Convert to fraction form
    548.40/816.39 = 545.16/x
  3. Step 3: Cross multiply
    548.40x = 816.39 × 545.16
  4. Step 4: Simplify right side
    548.40x = 445,063.17
  5. Step 5: Solve for x
    x = 445,063.17/548.40
  6. Step 6: Final answer
    x = 811.57

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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.