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Finding the Fourth Proportional to 832.73, 1,146.47 and 685.10

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Solution

The fourth proportional to 832.73, 1,146.47 and 685.10 is: 943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.73 : 1,146.47 = 685.10 : x
  2. Step 2: Convert to fraction form
    832.73/1,146.47 = 685.10/x
  3. Step 3: Cross multiply
    832.73x = 1,146.47 × 685.10
  4. Step 4: Simplify right side
    832.73x = 785,451.18
  5. Step 5: Solve for x
    x = 785,451.18/832.73
  6. Step 6: Final answer
    x = 943.23

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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.