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Finding the Fourth Proportional to 650.51, 974.89 and 341.70

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Solution

The fourth proportional to 650.51, 974.89 and 341.70 is: 512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.51 : 974.89 = 341.70 : x
  2. Step 2: Convert to fraction form
    650.51/974.89 = 341.70/x
  3. Step 3: Cross multiply
    650.51x = 974.89 × 341.70
  4. Step 4: Simplify right side
    650.51x = 333,120.25
  5. Step 5: Solve for x
    x = 333,120.25/650.51
  6. Step 6: Final answer
    x = 512.09

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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.