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Finding the Fourth Proportional to 714.29, 984.42 and 517.46

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Solution

The fourth proportional to 714.29, 984.42 and 517.46 is: 713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.29 : 984.42 = 517.46 : x
  2. Step 2: Convert to fraction form
    714.29/984.42 = 517.46/x
  3. Step 3: Cross multiply
    714.29x = 984.42 × 517.46
  4. Step 4: Simplify right side
    714.29x = 509,393.05
  5. Step 5: Solve for x
    x = 509,393.05/714.29
  6. Step 6: Final answer
    x = 713.15

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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.