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Finding the Fourth Proportional to 989.06, 1,364.88 and 569.42

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Solution

The fourth proportional to 989.06, 1,364.88 and 569.42 is: 785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.06 : 1,364.88 = 569.42 : x
  2. Step 2: Convert to fraction form
    989.06/1,364.88 = 569.42/x
  3. Step 3: Cross multiply
    989.06x = 1,364.88 × 569.42
  4. Step 4: Simplify right side
    989.06x = 777,183.67
  5. Step 5: Solve for x
    x = 777,183.67/989.06
  6. Step 6: Final answer
    x = 785.78

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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.