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Finding the Fourth Proportional to 547.63, 822.26 and 537.91

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Solution

The fourth proportional to 547.63, 822.26 and 537.91 is: 807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.63 : 822.26 = 537.91 : x
  2. Step 2: Convert to fraction form
    547.63/822.26 = 537.91/x
  3. Step 3: Cross multiply
    547.63x = 822.26 × 537.91
  4. Step 4: Simplify right side
    547.63x = 442,301.88
  5. Step 5: Solve for x
    x = 442,301.88/547.63
  6. Step 6: Final answer
    x = 807.67

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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.