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Finding the Fourth Proportional to 989.25, 1,365.43 and 569.65

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Solution

The fourth proportional to 989.25, 1,365.43 and 569.65 is: 786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.25 : 1,365.43 = 569.65 : x
  2. Step 2: Convert to fraction form
    989.25/1,365.43 = 569.65/x
  3. Step 3: Cross multiply
    989.25x = 1,365.43 × 569.65
  4. Step 4: Simplify right side
    989.25x = 777,814.35
  5. Step 5: Solve for x
    x = 777,814.35/989.25
  6. Step 6: Final answer
    x = 786.27

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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.