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Finding the Fourth Proportional to 547.80, 819.96 and 303.72

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Solution

The fourth proportional to 547.80, 819.96 and 303.72 is: 454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.80 : 819.96 = 303.72 : x
  2. Step 2: Convert to fraction form
    547.80/819.96 = 303.72/x
  3. Step 3: Cross multiply
    547.80x = 819.96 × 303.72
  4. Step 4: Simplify right side
    547.80x = 249,038.25
  5. Step 5: Solve for x
    x = 249,038.25/547.80
  6. Step 6: Final answer
    x = 454.62

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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.