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Finding the Fourth Proportional to 701.21, 967.69 and 417.49

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Solution

The fourth proportional to 701.21, 967.69 and 417.49 is: 576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.21 : 967.69 = 417.49 : x
  2. Step 2: Convert to fraction form
    701.21/967.69 = 417.49/x
  3. Step 3: Cross multiply
    701.21x = 967.69 × 417.49
  4. Step 4: Simplify right side
    701.21x = 403,996.67
  5. Step 5: Solve for x
    x = 403,996.67/701.21
  6. Step 6: Final answer
    x = 576.14

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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.