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Finding the Fourth Proportional to 548.80, 756.48 and 408.69

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Solution

The fourth proportional to 548.80, 756.48 and 408.69 is: 563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.80 : 756.48 = 408.69 : x
  2. Step 2: Convert to fraction form
    548.80/756.48 = 408.69/x
  3. Step 3: Cross multiply
    548.80x = 756.48 × 408.69
  4. Step 4: Simplify right side
    548.80x = 309,165.81
  5. Step 5: Solve for x
    x = 309,165.81/548.80
  6. Step 6: Final answer
    x = 563.35

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.