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Finding the Fourth Proportional to 989.09, 1,364.90 and 569.38

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Solution

The fourth proportional to 989.09, 1,364.90 and 569.38 is: 785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.09 : 1,364.90 = 569.38 : x
  2. Step 2: Convert to fraction form
    989.09/1,364.90 = 569.38/x
  3. Step 3: Cross multiply
    989.09x = 1,364.90 × 569.38
  4. Step 4: Simplify right side
    989.09x = 777,140.50
  5. Step 5: Solve for x
    x = 777,140.50/989.09
  6. Step 6: Final answer
    x = 785.71

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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.