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Finding the Fourth Proportional to 702.34, 967.34 and 609.09

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Solution

The fourth proportional to 702.34, 967.34 and 609.09 is: 838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.34 : 967.34 = 609.09 : x
  2. Step 2: Convert to fraction form
    702.34/967.34 = 609.09/x
  3. Step 3: Cross multiply
    702.34x = 967.34 × 609.09
  4. Step 4: Simplify right side
    702.34x = 589,195.02
  5. Step 5: Solve for x
    x = 589,195.02/702.34
  6. Step 6: Final answer
    x = 838.91

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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.