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Finding the Fourth Proportional to 656.05, 982.82 and 568.47

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Solution

The fourth proportional to 656.05, 982.82 and 568.47 is: 851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.05 : 982.82 = 568.47 : x
  2. Step 2: Convert to fraction form
    656.05/982.82 = 568.47/x
  3. Step 3: Cross multiply
    656.05x = 982.82 × 568.47
  4. Step 4: Simplify right side
    656.05x = 558,703.69
  5. Step 5: Solve for x
    x = 558,703.69/656.05
  6. Step 6: Final answer
    x = 851.62

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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.