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Finding the Fourth Proportional to 748.36, 1,030.97 and 715.56

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Solution

The fourth proportional to 748.36, 1,030.97 and 715.56 is: 985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.36 : 1,030.97 = 715.56 : x
  2. Step 2: Convert to fraction form
    748.36/1,030.97 = 715.56/x
  3. Step 3: Cross multiply
    748.36x = 1,030.97 × 715.56
  4. Step 4: Simplify right side
    748.36x = 737,716.68
  5. Step 5: Solve for x
    x = 737,716.68/748.36
  6. Step 6: Final answer
    x = 985.77

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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.