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Finding the Fourth Proportional to 548.01, 822.08 and 446.16

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Solution

The fourth proportional to 548.01, 822.08 and 446.16 is: 669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.01 : 822.08 = 446.16 : x
  2. Step 2: Convert to fraction form
    548.01/822.08 = 446.16/x
  3. Step 3: Cross multiply
    548.01x = 822.08 × 446.16
  4. Step 4: Simplify right side
    548.01x = 366,776.98
  5. Step 5: Solve for x
    x = 366,776.98/548.01
  6. Step 6: Final answer
    x = 669.29

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1.5x scale

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.