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Finding the Fourth Proportional to 607.07, 910.72 and 217.09

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Solution

The fourth proportional to 607.07, 910.72 and 217.09 is: 325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.07 : 910.72 = 217.09 : x
  2. Step 2: Convert to fraction form
    607.07/910.72 = 217.09/x
  3. Step 3: Cross multiply
    607.07x = 910.72 × 217.09
  4. Step 4: Simplify right side
    607.07x = 197,708.20
  5. Step 5: Solve for x
    x = 197,708.20/607.07
  6. Step 6: Final answer
    x = 325.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.