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Finding the Fourth Proportional to 702.44, 969.09 and 453.67

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Solution

The fourth proportional to 702.44, 969.09 and 453.67 is: 625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.44 : 969.09 = 453.67 : x
  2. Step 2: Convert to fraction form
    702.44/969.09 = 453.67/x
  3. Step 3: Cross multiply
    702.44x = 969.09 × 453.67
  4. Step 4: Simplify right side
    702.44x = 439,646.57
  5. Step 5: Solve for x
    x = 439,646.57/702.44
  6. Step 6: Final answer
    x = 625.88

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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.