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Finding the Fourth Proportional to 568.80, 784.32 and 361.68

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Solution

The fourth proportional to 568.80, 784.32 and 361.68 is: 498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.80 : 784.32 = 361.68 : x
  2. Step 2: Convert to fraction form
    568.80/784.32 = 361.68/x
  3. Step 3: Cross multiply
    568.80x = 784.32 × 361.68
  4. Step 4: Simplify right side
    568.80x = 283,672.86
  5. Step 5: Solve for x
    x = 283,672.86/568.80
  6. Step 6: Final answer
    x = 498.72

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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.