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Finding the Fourth Proportional to 930.86, 1,396.29 and 417.26

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Solution

The fourth proportional to 930.86, 1,396.29 and 417.26 is: 625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.86 : 1,396.29 = 417.26 : x
  2. Step 2: Convert to fraction form
    930.86/1,396.29 = 417.26/x
  3. Step 3: Cross multiply
    930.86x = 1,396.29 × 417.26
  4. Step 4: Simplify right side
    930.86x = 582,615.97
  5. Step 5: Solve for x
    x = 582,615.97/930.86
  6. Step 6: Final answer
    x = 625.89

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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.