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Finding the Fourth Proportional to 989.20, 1,365.15 and 569.57

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Solution

The fourth proportional to 989.20, 1,365.15 and 569.57 is: 786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.20 : 1,365.15 = 569.57 : x
  2. Step 2: Convert to fraction form
    989.20/1,365.15 = 569.57/x
  3. Step 3: Cross multiply
    989.20x = 1,365.15 × 569.57
  4. Step 4: Simplify right side
    989.20x = 777,543.80
  5. Step 5: Solve for x
    x = 777,543.80/989.20
  6. Step 6: Final answer
    x = 786.04

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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.