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Finding the Fourth Proportional to 568.41, 784.68 and 335.49

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Solution

The fourth proportional to 568.41, 784.68 and 335.49 is: 463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.41 : 784.68 = 335.49 : x
  2. Step 2: Convert to fraction form
    568.41/784.68 = 335.49/x
  3. Step 3: Cross multiply
    568.41x = 784.68 × 335.49
  4. Step 4: Simplify right side
    568.41x = 263,252.29
  5. Step 5: Solve for x
    x = 263,252.29/568.41
  6. Step 6: Final answer
    x = 463.14

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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.