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Finding the Fourth Proportional to 547.44, 753.78 and 478.44

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Solution

The fourth proportional to 547.44, 753.78 and 478.44 is: 658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.44 : 753.78 = 478.44 : x
  2. Step 2: Convert to fraction form
    547.44/753.78 = 478.44/x
  3. Step 3: Cross multiply
    547.44x = 753.78 × 478.44
  4. Step 4: Simplify right side
    547.44x = 360,638.50
  5. Step 5: Solve for x
    x = 360,638.50/547.44
  6. Step 6: Final answer
    x = 658.77

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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.