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Finding the Fourth Proportional to 713.90, 984.81 and 517.07

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Solution

The fourth proportional to 713.90, 984.81 and 517.07 is: 713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.90 : 984.81 = 517.07 : x
  2. Step 2: Convert to fraction form
    713.90/984.81 = 517.07/x
  3. Step 3: Cross multiply
    713.90x = 984.81 × 517.07
  4. Step 4: Simplify right side
    713.90x = 509,215.71
  5. Step 5: Solve for x
    x = 509,215.71/713.90
  6. Step 6: Final answer
    x = 713.29

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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.