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Finding the Fourth Proportional to 547.98, 820.44 and 469.16

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Solution

The fourth proportional to 547.98, 820.44 and 469.16 is: 702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.98 : 820.44 = 469.16 : x
  2. Step 2: Convert to fraction form
    547.98/820.44 = 469.16/x
  3. Step 3: Cross multiply
    547.98x = 820.44 × 469.16
  4. Step 4: Simplify right side
    547.98x = 384,917.63
  5. Step 5: Solve for x
    x = 384,917.63/547.98
  6. Step 6: Final answer
    x = 702.43

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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.