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Finding the Fourth Proportional to 702.64, 970.24 and 441.12

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Solution

The fourth proportional to 702.64, 970.24 and 441.12 is: 609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.64 : 970.24 = 441.12 : x
  2. Step 2: Convert to fraction form
    702.64/970.24 = 441.12/x
  3. Step 3: Cross multiply
    702.64x = 970.24 × 441.12
  4. Step 4: Simplify right side
    702.64x = 427,992.27
  5. Step 5: Solve for x
    x = 427,992.27/702.64
  6. Step 6: Final answer
    x = 609.12

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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.