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Finding the Fourth Proportional to 713.61, 983.82 and 514.26

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Solution

The fourth proportional to 713.61, 983.82 and 514.26 is: 708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.61 : 983.82 = 514.26 : x
  2. Step 2: Convert to fraction form
    713.61/983.82 = 514.26/x
  3. Step 3: Cross multiply
    713.61x = 983.82 × 514.26
  4. Step 4: Simplify right side
    713.61x = 505,939.27
  5. Step 5: Solve for x
    x = 505,939.27/713.61
  6. Step 6: Final answer
    x = 708.99

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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.