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Finding the Fourth Proportional to 825.23, 1,136.63 and 614.73

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Solution

The fourth proportional to 825.23, 1,136.63 and 614.73 is: 846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.23 : 1,136.63 = 614.73 : x
  2. Step 2: Convert to fraction form
    825.23/1,136.63 = 614.73/x
  3. Step 3: Cross multiply
    825.23x = 1,136.63 × 614.73
  4. Step 4: Simplify right side
    825.23x = 698,719.02
  5. Step 5: Solve for x
    x = 698,719.02/825.23
  6. Step 6: Final answer
    x = 846.70

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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.