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Finding the Fourth Proportional to 944.87, 1,302.75 and 723.47

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Solution

The fourth proportional to 944.87, 1,302.75 and 723.47 is: 997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.87 : 1,302.75 = 723.47 : x
  2. Step 2: Convert to fraction form
    944.87/1,302.75 = 723.47/x
  3. Step 3: Cross multiply
    944.87x = 1,302.75 × 723.47
  4. Step 4: Simplify right side
    944.87x = 942,494.03
  5. Step 5: Solve for x
    x = 942,494.03/944.87
  6. Step 6: Final answer
    x = 997.49

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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.