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Finding the Fourth Proportional to 702.11, 968.90 and 407.38

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Solution

The fourth proportional to 702.11, 968.90 and 407.38 is: 562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.11 : 968.90 = 407.38 : x
  2. Step 2: Convert to fraction form
    702.11/968.90 = 407.38/x
  3. Step 3: Cross multiply
    702.11x = 968.90 × 407.38
  4. Step 4: Simplify right side
    702.11x = 394,709.08
  5. Step 5: Solve for x
    x = 394,709.08/702.11
  6. Step 6: Final answer
    x = 562.17

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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.