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Finding the Fourth Proportional to 662.53, 989.03 and 614.47

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Solution

The fourth proportional to 662.53, 989.03 and 614.47 is: 917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.53 : 989.03 = 614.47 : x
  2. Step 2: Convert to fraction form
    662.53/989.03 = 614.47/x
  3. Step 3: Cross multiply
    662.53x = 989.03 × 614.47
  4. Step 4: Simplify right side
    662.53x = 607,723.72
  5. Step 5: Solve for x
    x = 607,723.72/662.53
  6. Step 6: Final answer
    x = 917.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.