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Finding the Fourth Proportional to 548.05, 816.74 and 532.26

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Solution

The fourth proportional to 548.05, 816.74 and 532.26 is: 793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.05 : 816.74 = 532.26 : x
  2. Step 2: Convert to fraction form
    548.05/816.74 = 532.26/x
  3. Step 3: Cross multiply
    548.05x = 816.74 × 532.26
  4. Step 4: Simplify right side
    548.05x = 434,718.03
  5. Step 5: Solve for x
    x = 434,718.03/548.05
  6. Step 6: Final answer
    x = 793.21

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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.