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Finding the Fourth Proportional to 547.60, 820.60 and 499

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Solution

The fourth proportional to 547.60, 820.60 and 499 is: 747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.60 : 820.60 = 499 : x
  2. Step 2: Convert to fraction form
    547.60/820.60 = 499/x
  3. Step 3: Cross multiply
    547.60x = 820.60 × 499
  4. Step 4: Simplify right side
    547.60x = 409,479.40
  5. Step 5: Solve for x
    x = 409,479.40/547.60
  6. Step 6: Final answer
    x = 747.77

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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.