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Finding the Fourth Proportional to 702.06, 969.17 and 407.27

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Solution

The fourth proportional to 702.06, 969.17 and 407.27 is: 562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.06 : 969.17 = 407.27 : x
  2. Step 2: Convert to fraction form
    702.06/969.17 = 407.27/x
  3. Step 3: Cross multiply
    702.06x = 969.17 × 407.27
  4. Step 4: Simplify right side
    702.06x = 394,717.69
  5. Step 5: Solve for x
    x = 394,717.69/702.06
  6. Step 6: Final answer
    x = 562.23

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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.