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Finding the Fourth Proportional to 702.84, 970.38 and 441.32

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Solution

The fourth proportional to 702.84, 970.38 and 441.32 is: 609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.84 : 970.38 = 441.32 : x
  2. Step 2: Convert to fraction form
    702.84/970.38 = 441.32/x
  3. Step 3: Cross multiply
    702.84x = 970.38 × 441.32
  4. Step 4: Simplify right side
    702.84x = 428,243.25
  5. Step 5: Solve for x
    x = 428,243.25/702.84
  6. Step 6: Final answer
    x = 609.30

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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.