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Finding the Fourth Proportional to 702.57, 969.57 and 440.44

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Solution

The fourth proportional to 702.57, 969.57 and 440.44 is: 607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.57 : 969.57 = 440.44 : x
  2. Step 2: Convert to fraction form
    702.57/969.57 = 440.44/x
  3. Step 3: Cross multiply
    702.57x = 969.57 × 440.44
  4. Step 4: Simplify right side
    702.57x = 427,034.99
  5. Step 5: Solve for x
    x = 427,034.99/702.57
  6. Step 6: Final answer
    x = 607.82

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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.