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Finding the Fourth Proportional to 713.86, 985.26 and 419.15

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Solution

The fourth proportional to 713.86, 985.26 and 419.15 is: 578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.86 : 985.26 = 419.15 : x
  2. Step 2: Convert to fraction form
    713.86/985.26 = 419.15/x
  3. Step 3: Cross multiply
    713.86x = 985.26 × 419.15
  4. Step 4: Simplify right side
    713.86x = 412,971.73
  5. Step 5: Solve for x
    x = 412,971.73/713.86
  6. Step 6: Final answer
    x = 578.51

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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.