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Finding the Fourth Proportional to 547.12, 815.09 and 546.04

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Solution

The fourth proportional to 547.12, 815.09 and 546.04 is: 813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.12 : 815.09 = 546.04 : x
  2. Step 2: Convert to fraction form
    547.12/815.09 = 546.04/x
  3. Step 3: Cross multiply
    547.12x = 815.09 × 546.04
  4. Step 4: Simplify right side
    547.12x = 445,071.74
  5. Step 5: Solve for x
    x = 445,071.74/547.12
  6. Step 6: Final answer
    x = 813.48

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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.