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Finding the Fourth Proportional to 665.96, 999.82 and 569.08

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Solution

The fourth proportional to 665.96, 999.82 and 569.08 is: 854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.96 : 999.82 = 569.08 : x
  2. Step 2: Convert to fraction form
    665.96/999.82 = 569.08/x
  3. Step 3: Cross multiply
    665.96x = 999.82 × 569.08
  4. Step 4: Simplify right side
    665.96x = 568,973.64
  5. Step 5: Solve for x
    x = 568,973.64/665.96
  6. Step 6: Final answer
    x = 854.37

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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.