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Finding the Fourth Proportional to 713.21, 982.26 and 614.93

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Solution

The fourth proportional to 713.21, 982.26 and 614.93 is: 846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.21 : 982.26 = 614.93 : x
  2. Step 2: Convert to fraction form
    713.21/982.26 = 614.93/x
  3. Step 3: Cross multiply
    713.21x = 982.26 × 614.93
  4. Step 4: Simplify right side
    713.21x = 604,021.14
  5. Step 5: Solve for x
    x = 604,021.14/713.21
  6. Step 6: Final answer
    x = 846.91

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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.