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Finding the Fourth Proportional to 748.39, 1,030.62 and 746.11

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Solution

The fourth proportional to 748.39, 1,030.62 and 746.11 is: 1,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.39 : 1,030.62 = 746.11 : x
  2. Step 2: Convert to fraction form
    748.39/1,030.62 = 746.11/x
  3. Step 3: Cross multiply
    748.39x = 1,030.62 × 746.11
  4. Step 4: Simplify right side
    748.39x = 768,959.97
  5. Step 5: Solve for x
    x = 768,959.97/748.39
  6. Step 6: Final answer
    x = 1,027.49

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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.