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Finding the Fourth Proportional to 577.84, 865.60 and 333.68

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Solution

The fourth proportional to 577.84, 865.60 and 333.68 is: 499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.84 : 865.60 = 333.68 : x
  2. Step 2: Convert to fraction form
    577.84/865.60 = 333.68/x
  3. Step 3: Cross multiply
    577.84x = 865.60 × 333.68
  4. Step 4: Simplify right side
    577.84x = 288,833.41
  5. Step 5: Solve for x
    x = 288,833.41/577.84
  6. Step 6: Final answer
    x = 499.85

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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.