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Finding the Fourth Proportional to 568.05, 783.89 and 335.13

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Solution

The fourth proportional to 568.05, 783.89 and 335.13 is: 462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.05 : 783.89 = 335.13 : x
  2. Step 2: Convert to fraction form
    568.05/783.89 = 335.13/x
  3. Step 3: Cross multiply
    568.05x = 783.89 × 335.13
  4. Step 4: Simplify right side
    568.05x = 262,705.06
  5. Step 5: Solve for x
    x = 262,705.06/568.05
  6. Step 6: Final answer
    x = 462.47

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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.