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Finding the Fourth Proportional to 719.88, 994.02 and 513

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Solution

The fourth proportional to 719.88, 994.02 and 513 is: 708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.88 : 994.02 = 513 : x
  2. Step 2: Convert to fraction form
    719.88/994.02 = 513/x
  3. Step 3: Cross multiply
    719.88x = 994.02 × 513
  4. Step 4: Simplify right side
    719.88x = 509,932.26
  5. Step 5: Solve for x
    x = 509,932.26/719.88
  6. Step 6: Final answer
    x = 708.36

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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.