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Finding the Fourth Proportional to 548.10, 817.16 and 496.80

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Solution

The fourth proportional to 548.10, 817.16 and 496.80 is: 740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.10 : 817.16 = 496.80 : x
  2. Step 2: Convert to fraction form
    548.10/817.16 = 496.80/x
  3. Step 3: Cross multiply
    548.10x = 817.16 × 496.80
  4. Step 4: Simplify right side
    548.10x = 405,962.60
  5. Step 5: Solve for x
    x = 405,962.60/548.10
  6. Step 6: Final answer
    x = 740.67

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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.