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Finding the Fourth Proportional to 714.53, 982.27 and 614.58

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Solution

The fourth proportional to 714.53, 982.27 and 614.58 is: 844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.53 : 982.27 = 614.58 : x
  2. Step 2: Convert to fraction form
    714.53/982.27 = 614.58/x
  3. Step 3: Cross multiply
    714.53x = 982.27 × 614.58
  4. Step 4: Simplify right side
    714.53x = 603,683.50
  5. Step 5: Solve for x
    x = 603,683.50/714.53
  6. Step 6: Final answer
    x = 844.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.