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Finding the Fourth Proportional to 701.35, 967.40 and 438.91

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Solution

The fourth proportional to 701.35, 967.40 and 438.91 is: 605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.35 : 967.40 = 438.91 : x
  2. Step 2: Convert to fraction form
    701.35/967.40 = 438.91/x
  3. Step 3: Cross multiply
    701.35x = 967.40 × 438.91
  4. Step 4: Simplify right side
    701.35x = 424,601.53
  5. Step 5: Solve for x
    x = 424,601.53/701.35
  6. Step 6: Final answer
    x = 605.41

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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.