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Finding the Fourth Proportional to 725.64, 998.91 and 651.93

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Solution

The fourth proportional to 725.64, 998.91 and 651.93 is: 897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.64 : 998.91 = 651.93 : x
  2. Step 2: Convert to fraction form
    725.64/998.91 = 651.93/x
  3. Step 3: Cross multiply
    725.64x = 998.91 × 651.93
  4. Step 4: Simplify right side
    725.64x = 651,219.40
  5. Step 5: Solve for x
    x = 651,219.40/725.64
  6. Step 6: Final answer
    x = 897.44

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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.