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Finding the Fourth Proportional to 702.96, 969.84 and 441.12

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Solution

The fourth proportional to 702.96, 969.84 and 441.12 is: 608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.96 : 969.84 = 441.12 : x
  2. Step 2: Convert to fraction form
    702.96/969.84 = 441.12/x
  3. Step 3: Cross multiply
    702.96x = 969.84 × 441.12
  4. Step 4: Simplify right side
    702.96x = 427,815.82
  5. Step 5: Solve for x
    x = 427,815.82/702.96
  6. Step 6: Final answer
    x = 608.59

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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.