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Finding the Fourth Proportional to 718.86, 998.68 and 712.10

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Solution

The fourth proportional to 718.86, 998.68 and 712.10 is: 989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.86 : 998.68 = 712.10 : x
  2. Step 2: Convert to fraction form
    718.86/998.68 = 712.10/x
  3. Step 3: Cross multiply
    718.86x = 998.68 × 712.10
  4. Step 4: Simplify right side
    718.86x = 711,160.03
  5. Step 5: Solve for x
    x = 711,160.03/718.86
  6. Step 6: Final answer
    x = 989.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.