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Finding the Fourth Proportional to 989.19, 1,364.88 and 569.43

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Solution

The fourth proportional to 989.19, 1,364.88 and 569.43 is: 785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.19 : 1,364.88 = 569.43 : x
  2. Step 2: Convert to fraction form
    989.19/1,364.88 = 569.43/x
  3. Step 3: Cross multiply
    989.19x = 1,364.88 × 569.43
  4. Step 4: Simplify right side
    989.19x = 777,203.62
  5. Step 5: Solve for x
    x = 777,203.62/989.19
  6. Step 6: Final answer
    x = 785.70

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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.