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Finding the Fourth Proportional to 1,154.92, 1,593.03 and 712.39

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Solution

The fourth proportional to 1,154.92, 1,593.03 and 712.39 is: 982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.92 : 1,593.03 = 712.39 : x
  2. Step 2: Convert to fraction form
    1,154.92/1,593.03 = 712.39/x
  3. Step 3: Cross multiply
    1,154.92x = 1,593.03 × 712.39
  4. Step 4: Simplify right side
    1,154.92x = 1,134,858.64
  5. Step 5: Solve for x
    x = 1,134,858.64/1,154.92
  6. Step 6: Final answer
    x = 982.63

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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.