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Finding the Fourth Proportional to 548.64, 752.22 and 547.02

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Solution

The fourth proportional to 548.64, 752.22 and 547.02 is: 750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.64 : 752.22 = 547.02 : x
  2. Step 2: Convert to fraction form
    548.64/752.22 = 547.02/x
  3. Step 3: Cross multiply
    548.64x = 752.22 × 547.02
  4. Step 4: Simplify right side
    548.64x = 411,479.38
  5. Step 5: Solve for x
    x = 411,479.38/548.64
  6. Step 6: Final answer
    x = 750.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.