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Finding the Fourth Proportional to 989.14, 1,364.88 and 569.56

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Solution

The fourth proportional to 989.14, 1,364.88 and 569.56 is: 785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.14 : 1,364.88 = 569.56 : x
  2. Step 2: Convert to fraction form
    989.14/1,364.88 = 569.56/x
  3. Step 3: Cross multiply
    989.14x = 1,364.88 × 569.56
  4. Step 4: Simplify right side
    989.14x = 777,381.05
  5. Step 5: Solve for x
    x = 777,381.05/989.14
  6. Step 6: Final answer
    x = 785.92

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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.