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Finding the Fourth Proportional to 628.91, 943.60 and 409.51

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Solution

The fourth proportional to 628.91, 943.60 and 409.51 is: 614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.91 : 943.60 = 409.51 : x
  2. Step 2: Convert to fraction form
    628.91/943.60 = 409.51/x
  3. Step 3: Cross multiply
    628.91x = 943.60 × 409.51
  4. Step 4: Simplify right side
    628.91x = 386,409.25
  5. Step 5: Solve for x
    x = 386,409.25/628.91
  6. Step 6: Final answer
    x = 614.41

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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.