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Finding the Fourth Proportional to 722.88, 1,004.49 and 713.70

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Solution

The fourth proportional to 722.88, 1,004.49 and 713.70 is: 991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.88 : 1,004.49 = 713.70 : x
  2. Step 2: Convert to fraction form
    722.88/1,004.49 = 713.70/x
  3. Step 3: Cross multiply
    722.88x = 1,004.49 × 713.70
  4. Step 4: Simplify right side
    722.88x = 716,904.51
  5. Step 5: Solve for x
    x = 716,904.51/722.88
  6. Step 6: Final answer
    x = 991.73

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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.